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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> <html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en"> <head> <title>GAP (ref) - Index</title> <meta http-equiv="content-type" content="text/html; charset=UTF-8" /> <meta name="generator" content="GAPDoc2HTML" /> <link rel="stylesheet" type="text/css" href="manual.css" /> <script src="manual.js" type="text/javascript"></script> <script type="text/javascript">overwriteStyle();</script> </head> <body class="chapInd" onload="jscontent()"> <div class="chlinktop"><span class="chlink1">Goto Chapter: </span><a href="chap0.html">Top</a> <a <div class="chlinkprevnexttop"> <a href="chap0.html">[Top of Book]</a> <a href="chap0.html#con <p id="mathjaxlink" class="pcenter"><a href="chapInd_mj.html">[MathJax on]</a></p> <p><a id="X83A0356F839C696F" name="X83A0356F839C696F"></a></p> <div class="index"> <h3>Index</h3> <code class="code">!.</code> <a href="chap79.html#X866E223484649E5A">79.2</a> <br /> <code class="code">![]</code> <a href="chap79.html#X834893D07FAA6FD2">79.3</a> <br /> # <a href="chap4.html#X7C53CEFC8641B919">4.4</a> <br /> #% <a href="chap5.html#X7A1721CD79F08E71">5.7</a> <br /> <code class="code">*</code> <a href="chap4.html#X7B66C8707B5DE10A">4.14</a> <br /> for character tables <a href="chap71.html#X7CADCBC9824CB624">71.7</a> <br /> <code class="code">+</code> <a href="chap4.html#X7B66C8707B5DE10A">4.14</a> <br /> <code class="code">-</code> <a href="chap4.html#X7B66C8707B5DE10A">4.14</a> <br /> <code class="code">--help</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">--limitworkspace</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br <code class="code">--line</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">--maxworkspace</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">--minworkspace</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">--packagedirs</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">--roots</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">--version</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">--width</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">-A</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">-b</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">-C</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">-c</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">-D</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">-E</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">-e</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">-f</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">-g</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">-g -g</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">-h</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="func">-infinity</code> <a href="chap18.html#X8511B8DF83324C27">18.2-1</a> <br /> <code class="code">-K</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">-l</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">-L</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">-M</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">-m</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">-n</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">-O</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">-o</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">-P</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">-p</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">-q</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">-R</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">-r</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">-s</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">-T</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">-x</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">-y</code> <a href="chap3.html#X782751D5858A6EAF">3.1</a> <br /> <code class="code">/</code> <a href="chap4.html#X7B66C8707B5DE10A">4.14</a> <br /> for character tables <a href="chap71.html#X7CADCBC9824CB624">71.7</a> <br /> <code class="code">\" 27.2 <code class="code">\' 27.2 <code class="func">\*</code> <a href="chap31.html#X8481C9B97B214C23">31.12-1</a> <br /> for Matrix object and scalar <a href="chap26.html#X7BBB70557A7A9591">26.10-2</a> <br /> for pcwords <a href="chap46.html#X7D1B700882FC6C78">46.2-2</a> <br /> for permutations and partial permutations <a href="chap54.html#X86469D597F8BC7CE">54.5-5< for scalar and matrix object <a href="chap26.html#X7BBB70557A7A9591">26.10-2</a> <br /> for scalar and vector object <a href="chap26.html#X85A815CA790094CC">26.8-2</a> <br /> for transformations <a href="chap53.html#X7F6573E67D27D822">53.4-3</a> <br /> for two matrix objects <a href="chap26.html#X7BBB70557A7A9591">26.10-2</a> <br /> for two vector objects <a href="chap26.html#X85A815CA790094CC">26.8-2</a> <br /> for vector object and scalar <a href="chap26.html#X85A815CA790094CC">26.8-2</a> <br /> <code class="func">\+</code> <a href="chap31.html#X8481C9B97B214C23">31.12-1</a> <br /> for two matrix objects <a href="chap26.html#X7BBB70557A7A9591">26.10-2</a> <br /> for two vector objects <a href="chap26.html#X85A815CA790094CC">26.8-2</a> <br /> <code class="func">\-</code>, for two matrix objects <a href="chap26.html#X7BBB70557A7A9591"> for two vector objects <a href="chap26.html#X85A815CA790094CC">26.8-2</a> <br /> <code class="func">\.</code> <a href="chap29.html#X7821AC097821AC09">29.7-3</a> <br /> <code class="func">\.\:\=</code> <a href="chap29.html#X7821AC097821AC09">29.7-3</a> <br /> <code class="func">\/</code> <a href="chap31.html#X8481C9B97B214C23">31.12-1</a> <br /> for a free group and a list of elements <a href="chap47.html#X7EF4179E78BC7313">47.2-1</a> <br /> for a free group and a list of pairs of elements <a href="chap47.html#X7EF4179E78BC7313">47.2- for a free semigroup or monoid and a list of pairs of elements <a href="chap52.html#X84745EC678 for a partial permutation and permutation or partial permutation <a href="chap54.html#X869D for a positive integer and a partial permutation <a href="chap54.html#X7DC25BC47AAA9C73">54 for a transformation and a permutation <a href="chap53.html#X828CA7137F97C124">53.4-4</a> <br for matrix object and scalar <a href="chap26.html#X7BBB70557A7A9591">26.10-2</a> <br /> for vector object and scalar <a href="chap26.html#X85A815CA790094CC">26.8-2</a> <br /> <code class="func">\<</code> <a href="chap31.html#X7EF67D047F03CA6F">31.11-1</a> <br /> for associative words <a href="chap37.html#X7BB12B9D7F990899">37.3-2</a> <br /> for nonassociative words <a href="chap36.html#X82D4C7BE803166D6">36.2-2</a> <br /> for partial permutations <a href="chap54.html#X8659E9E57AC8D9CE">54.5-8</a> <br /> for pcwords <a href="chap46.html#X869DCE7D86E32337">46.2-1</a> <br /> for permutations <a href="chap42.html#X7CEC03A9808E2E7C">42.2-1</a> <br /> for transformations <a href="chap53.html#X84B8E294826A9377">53.4-6</a> <br /> for two elements in a f.p. group <a href="chap47.html#X7B350C718573B8DF">47.3-2</a> <br /> for two matrix objects <a href="chap26.html#X7FFC60A27FE6FA97">26.6-1</a> <br /> for two strings <a href="chap27.html#X8129E3A785F60093">27.6-2</a> <br /> for two vector objects <a href="chap26.html#X7FFC60A27FE6FA97">26.6-1</a> <br /> <code class="func">\=</code> <a href="chap31.html#X7EF67D047F03CA6F">31.11-1</a> <br /> for associative words <a href="chap37.html#X8206153078E97B90">37.3-1</a> <br /> for nonassociative words <a href="chap36.html#X7CA51DD7874115DF">36.2-1</a> <br /> for partial permutations <a href="chap54.html#X7828338C7DB8AAC7">54.5-9</a> <br /> for pcwords <a href="chap46.html#X869DCE7D86E32337">46.2-1</a> <br /> for permutations <a href="chap42.html#X7CEC03A9808E2E7C">42.2-1</a> <br /> for transformations <a href="chap53.html#X7D454AAD851AE07E">53.4-7</a> <br /> for two elements in a f.p. group <a href="chap47.html#X797D29628203CBD6">47.3-1</a> <br /> for two elements in a f.p. semigroup <a href="chap52.html#X7DD9D81F863EBE31">52.3-1</a> <br /> for two matrix objects <a href="chap26.html#X7FFC60A27FE6FA97">26.6-1</a> <br /> for two strings <a href="chap27.html#X79538F138286739A">27.6-1</a> <br /> for two vector objects <a href="chap26.html#X7FFC60A27FE6FA97">26.6-1</a> <br /> <code class="func"><span>\</span>[<span>\</span>]</code> <a href="chap21.html#X8297BBCD79642BE6"> for a row list matrix <a href="chap26.html#X82C4FCFA808010F8">26.12-1</a> <br /> for a vector object and an integer <a href="chap26.html#X7D5DF49C7ADB6986">26.7-1</a> <br /> <code class="func"><span>\</span>[<span>\</span>]\:\=</code> <a href="chap21.html#X8297BBCD79642 for a row list matrix and a vector object <a href="chap26.html#X7F89BB2482D28AAE">26.12-2</a> <b for a vector object and an integer <a href="chap26.html#X7D5DF49C7ADB6986">26.7-1</a> <br /> <code class="code">\\</code> <a href="chap27.html#X82E5F5AB818F32DB">27.2</a> <br /> <code class="code">\0xYZ</code> <a href="chap27.html#X82E5F5AB818F32DB">27.2</a> <br /> <code class="code">\n</code> <a href="chap27.html#X82E5F5AB818F32DB">27.2</a> <br /> <code class="code">\XYZ</code> <a href="chap27.html#X82E5F5AB818F32DB">27.2</a> <br /> <code class="func">\^</code> <a href="chap31.html#X8481C9B97B214C23">31.12-1</a> <br /> for a field and a pair of integers <a href="chap61.html#X876B66C37A7B749F">61.9-5</a> <br /> for a field and an integer <a href="chap61.html#X80209A8785126AAB">61.9-4</a> <br /> for a partial permutation and a permutation or partial permutation <a href="chap54.html#X821 for a positive integer and a partial permutation <a href="chap54.html#X792D3BA278DAB869">54 for a positive integer and a transformation <a href="chap53.html#X853031E37F214D10">53.4-1< for a transformation and a permutation <a href="chap53.html#X824A8E247DE7E53E">53.4-2</a> <br for matrix object and integer <a href="chap26.html#X7BBB70557A7A9591">26.10-2</a> <br /> <code class="code">\b</code> <a href="chap27.html#X82E5F5AB818F32DB">27.2</a> <br /> <code class="code">\c</code> <a href="chap27.html#X82E5F5AB818F32DB">27.2</a> <br /> <code class="func">\in</code>, element test for lists <a href="chap21.html#X7B914A287F88ED0A for a collection <a href="chap30.html#X84B7FA8C7C94400F">30.6-1</a> <br /> for strictly sorted lists <a href="chap21.html#X7B16AD597CB12305">21.19-1</a> <br /> <code class="func">\mod</code> <a href="chap31.html#X8481C9B97B214C23">31.12-1</a> <br /> for residue class rings <a href="chap14.html#X87B1210B8581D5B2">14.5-1</a> <br /> for two pcgs <a href="chap45.html#X7E923519832F2D08">45.9-5</a> <br /> <code class="code">\r</code> <a href="chap27.html#X82E5F5AB818F32DB">27.2</a> <br /> <code class="func">\{\}</code> <a href="chap21.html#X78791B8B838A8BA0">21.3-1</a> <br /> for a row list matrix <a href="chap26.html#X807518367C96516F">26.12-3</a> <br /> for a vector object and a list <a href="chap26.html#X7D5DF49C7ADB6986">26.7-1</a> <br /> <code class="func">\{\}\:\=</code> <a href="chap21.html#X813FF1637F8D2B7F">21.4-1</a> <br /> for row list matrices <a href="chap26.html#X8371789181FA136B">26.12-4</a> <br /> <code class="code">^</code> <a href="chap4.html#X7B66C8707B5DE10A">4.14</a> <br /> for class functions <a href="chap72.html#X83B9F0C5871A5F7F">72.4</a> <br /> for two group elements <a href="chap4.html#X7B66C8707B5DE10A">4.14</a> <br /> abelian number field <a href="chap60.html#X7D202D707D5708FA">60.2-3</a> <br /> abelian number fields, CanonicalBasis <a href="chap60.html#X7D2421AC8491D2BE">60.3</a> <br /> Galois group <a href="chap60.html#X7E4AB4B17C7BA10C">60.4</a> <br /> <code class="func">AbelianGroup</code> <a href="chap50.html#X81CCC3BF8005A2D7">50.1-3</a> <br <code class="func">AbelianInvariants</code> <a href="chap39.html#X812827937F403300">39.16 for a character table <a href="chap71.html#X81EFD9FE804AC6EE">71.8-5</a> <br /> <code class="code">AbelianInvariants</code>, for groups <a href="chap39.html#X812827937F40 <code class="func">AbelianInvariantsMultiplier</code> <a href="chap39.html#X792BC39D7CEB <code class="func">AbelianInvariantsNormalClosureFpGroup</code> <a href="chap47.html#X85 <code class="func">AbelianInvariantsNormalClosureFpGroupRrs</code> <a href="chap47.html# <code class="func">AbelianInvariantsOfList</code> <a href="chap25.html#X8221694D7C99197A <code class="func">AbelianInvariantsSubgroupFpGroup</code> <a href="chap47.html#X83B63ED <code class="func">AbelianInvariantsSubgroupFpGroupMtc</code> <a href="chap47.html#X804F <code class="func">AbelianInvariantsSubgroupFpGroupRrs</code>, for a group and a coset table < for two groups <a href="chap47.html#X8586137B7AAA6C10">47.15-3</a> <br /> <code class="func">AbelianNumberField</code> <a href="chap60.html#X80E5AD028143E11E">60.1 <code class="func">AbelianSubfactorAction</code> <a href="chap41.html#X835317A7847477D4"> About <strong class="pkg">GAP</strong> manual <a href="chap1.html#X874E1D45845007FE">1.</a> <br <code class="func">AbsInt</code> <a href="chap14.html#X782095927FB9F1DB">14.2-6</a> <br /> absolute value of an integer <a href="chap14.html#X782095927FB9F1DB">14.2-6</a> <br /> <code class="func">AbsoluteDiameter</code> <a href="chap19.html#X7FE540B387B0012C">19.5-4< <code class="func">AbsoluteIrreducibleModules</code> <a href="chap71.html#X7D0BD5337D1C0 <code class="func">AbsolutelyIrreducibleModules</code> <a href="chap71.html#X7D0BD5337D1 <code class="func">AbsoluteValue</code> <a href="chap18.html#X81DD58BB81FB3426">18.1-8</a> <b for floats <a href="chap19.html#X8151581186F75BA3">19.2-14</a> <br /> <code class="func">AbsolutIrreducibleModules</code> <a href="chap71.html#X7D0BD5337D1C06 abstract word <a href="chap36.html#X843F5C3A82239398">36.1-1</a> <br /> <code class="func">AbstractWordTietzeWord</code> <a href="chap48.html#X8573E91C838B1D13"> accessing, list elements <a href="chap21.html#X7921047F83F5FA28">21.3</a> <br /> record elements <a href="chap29.html#X7EAAE25D7A17F778">29.2</a> <br /> <code class="func">AClosestVectorCombinationsMatFFEVecFFE</code> <a href="chap23.html#X8 <code class="func">AClosestVectorCombinationsMatFFEVecFFECoords</code> <a href="chap23.h <code class="func">Acos</code> <a href="chap19.html#X8151581186F75BA3">19.2-14</a> <br /> <code class="func">Acosh</code> <a href="chap19.html#X8151581186F75BA3">19.2-14</a> <br /> <code class="func">ActingAlgebra</code> <a href="chap62.html#X8308408D86CFC3C9">62.11-13</ <code class="func">ActingDomain</code> <a href="chap41.html#X7B9DB15D80CE28B4">41.12-3</a> <b action, by conjugation <a href="chap41.html#X7FE417DD837987B4">41.2-1</a> <br /> <code class="func">Action</code>, for a group, an action domain, etc. <a href="chap41.html#X85A for an external set <a href="chap41.html#X85A8E93D786C3C9C">41.7-2</a> <br /> action, on blocks <a href="chap41.html#X85AA04347CD117F9">41.2-4</a> <br /> on sets <a href="chap41.html#X85AA04347CD117F9">41.2-4</a> <br /> <code class="func">ActionHomomorphism</code>, for a group, an action domain, etc. <a href="chap for an action image <a href="chap41.html#X78E6A002835288A4">41.7-1</a> <br /> for an external set <a href="chap41.html#X78E6A002835288A4">41.7-1</a> <br /> actions <a href="chap41.html#X81B8F9CD868CD953">41.2</a> <br /> <code class="func">ActorOfExternalSet</code> <a href="chap41.html#X85E9A6A77B8D00B8">41.1 <code class="func">Add</code> <a href="chap21.html#X795EC9D67E34DAB0">21.4-2</a> <br /> add, an element to a set <a href="chap21.html#X832C23CC7FCD8892">21.19-4</a> <br /> <code class="func">Add</code>, for a row list matrix and a vector object <a href="chap26.html#X7B <code class="func">AddCoeffs</code> <a href="chap23.html#X7854B2B67E3FE2CA">23.4-2</a> <br /> <code class="func">AddDictionary</code> <a href="chap28.html#X86C4F0507AD98B8A">28.3-4</a> <b <code class="func">AddGenerator</code> <a href="chap48.html#X7F632A6D8685855D">48.5-1</a> <br <code class="func">AddGeneratorsExtendSchreierTree</code> <a href="chap43.html#X83730078 addition <a href="chap4.html#X7B66C8707B5DE10A">4.14</a> <br /> list and non-list <a href="chap21.html#X842D123E7EE5E3DB">21.13-3</a> <br /> matrices <a href="chap24.html#X7899335779A39A95">24.3</a> <br /> matrix and scalar <a href="chap24.html#X7899335779A39A95">24.3</a> <br /> operation <a href="chap31.html#X8481C9B97B214C23">31.12-1</a> <br /> rational functions <a href="chap66.html#X86A68FD582F4F757">66.2</a> <br /> scalar and matrix <a href="chap24.html#X7899335779A39A95">24.3</a> <br /> scalar and matrix list <a href="chap24.html#X7899335779A39A95">24.3</a> <a href="chap24.html vector and scalar <a href="chap23.html#X85516C3179C229DB">23.2</a> <br /> vectors <a href="chap23.html#X85516C3179C229DB">23.2</a> <br /> <code class="func">AdditiveInverse</code> <a href="chap31.html#X84BB723C81D55D63">31.10-9< <code class="code">AdditiveInverseAttr</code> <a href="chap77.html#X7F6A6CBC7C9E91E5">77. <code class="func">AdditiveInverseImmutable</code> <a href="chap31.html#X84BB723C81D55D6 <code class="func">AdditiveInverseMutable</code> <a href="chap31.html#X84BB723C81D55D63"> for matrix object <a href="chap26.html#X819F87A07DA7E2DC">26.10-1</a> <br /> for vector object <a href="chap26.html#X7F8CE23F7A250072">26.8-1</a> <br /> <code class="func">AdditiveInverseOp</code> <a href="chap31.html#X84BB723C81D55D63">31.10 <code class="func">AdditiveInverseSameMutability</code> <a href="chap31.html#X84BB723C81 for matrix object <a href="chap26.html#X819F87A07DA7E2DC">26.10-1</a> <br /> for vector object <a href="chap26.html#X7F8CE23F7A250072">26.8-1</a> <br /> <code class="code">AdditiveInverseSM</code> <a href="chap77.html#X7F6A6CBC7C9E91E5">77.4</ <code class="func">AdditiveNeutralElement</code> <a href="chap55.html#X851EA2E67F0C9A75"> <code class="func">AddMatrixColumns</code> <a href="chap26.html#X7B1E1E417CA267A3">26.13- <code class="func">AddMatrixColumnsLeft</code> <a href="chap26.html#X85ECB8C87DFD8F32">26 <code class="func">AddMatrixColumnsRight</code> <a href="chap26.html#X7B1E1E417CA267A3">2 <code class="func">AddMatrixRows</code> <a href="chap26.html#X8662EB748629502F">26.13-5</a> < <code class="func">AddMatrixRowsLeft</code> <a href="chap26.html#X8662EB748629502F">26.13 <code class="func">AddMatrixRowsRight</code> <a href="chap26.html#X7CD05EE984614AB6">26.1 <code class="func">AddRelator</code> <a href="chap48.html#X78D1BCE67FA852D8">48.5-3</a> <br /> <code class="func">AddRowVector</code> <a href="chap23.html#X800EC03F7E0A5F23">23.4-1</a> <br <code class="func">AddRule</code> <a href="chap38.html#X81E6B5CB789A7C3A">38.1-9</a> <br /> <code class="func">AddRuleReduced</code> <a href="chap38.html#X7FA0B54D7C533DDC">38.1-10</ <code class="func">AddSet</code> <a href="chap21.html#X832C23CC7FCD8892">21.19-4</a> <br /> <code class="func">AddVector</code> <a href="chap23.html#X800EC03F7E0A5F23">23.4-1</a> <br /> for two vector objects <a href="chap26.html#X876090A684E71C93">26.8-3</a> <br /> for two vector objects and a scalar <a href="chap26.html#X876090A684E71C93">26.8-3</a> <br /> <code class="func">AdjointAssociativeAlgebra</code> <a href="chap64.html#X873A64307AC6C6 <code class="func">AdjointBasis</code> <a href="chap62.html#X788F4E6184E5C863">62.9-5</a> <br <code class="func">AdjointMatrix</code> <a href="chap64.html#X786886D882795F78">64.9-1</a> <b <code class="func">AdjointModule</code> <a href="chap62.html#X8729F0A678A4A09C">62.11-19</ <code class="func">AffineAction</code> <a href="chap45.html#X79C2D6BF7DD69ED6">45.14-4</a> <b <code class="func">AffineActionLayer</code> <a href="chap45.html#X7E4CB1358524497B">45.14 <code class="func">Agemo</code> <a href="chap39.html#X83DB33747F069ACC">39.14-2</a> <br /> <code class="func">Algebra</code> <a href="chap62.html#X7B213851791A594B">62.2-1</a> <br /> <code class="func">AlgebraByStructureConstants</code> <a href="chap62.html#X7CC58DFD816E <code class="func">AlgebraGeneralMappingByImages</code> <a href="chap62.html#X83CE798C7D <code class="func">AlgebraHomomorphismByFunction</code> <a href="chap62.html#X825149467C <code class="func">AlgebraHomomorphismByImages</code> <a href="chap62.html#X7A7F97ED8608 <code class="func">AlgebraHomomorphismByImagesNC</code> <a href="chap62.html#X8326D1BD79 <code class="func">AlgebraicExtension</code> <a href="chap67.html#X7CDA90537D2BAC8A">67.1 <code class="func">AlgebraicExtensionNC</code> <a href="chap67.html#X7CDA90537D2BAC8A">67 <code class="func">AlgebraWithOne</code> <a href="chap62.html#X80FE16EA84EE56CD">62.2-2</a> < <code class="func">AlgebraWithOneByStructureConstants</code> <a href="chap62.html#X80D52 <code class="func">AlgebraWithOneGeneralMappingByImages</code> <a href="chap62.html#X805 <code class="func">AlgebraWithOneHomomorphismByFunction</code> <a href="chap62.html#X825 <code class="func">AlgebraWithOneHomomorphismByImages</code> <a href="chap62.html#X866F3 <code class="func">AlgebraWithOneHomomorphismByImagesNC</code> <a href="chap62.html#X80B <code class="func">AllAutomorphisms</code> <a href="chap40.html#X791D12B7845610CE">40.9-3< <code class="func">AllBlocks</code> <a href="chap41.html#X835658B07B28EF3B">41.11-4</a> <br /> <code class="func">AllEndomorphisms</code> <a href="chap40.html#X791D12B7845610CE">40.9-3< <code class="func">AllHomomorphismClasses</code> <a href="chap40.html#X7D0C3D5E864CE954"> <code class="func">AllHomomorphisms</code> <a href="chap40.html#X791D12B7845610CE">40.9-3< <code class="code">All<var class="Arg">Library</var>Groups</code> <a href="chap50.html#X82676 <code class="code">AllPrimitiveGroups</code> <a href="chap50.html#X82676ED5826E9E2E">50.5< <code class="func">AllSmallNonabelianSimpleGroups</code> <a href="chap39.html#X7EB47BF27 <code class="func">AllSubgroups</code> <a href="chap39.html#X80399CD4870FFC4B">39.19-7</a> <b <code class="code">AllTransitiveGroups</code> <a href="chap50.html#X82676ED5826E9E2E">50. <code class="func">Alpha</code> <a href="chap75.html#X86A900897819E5AC">75.2-1</a> <br /> <code class="func">AlternatingGroup</code>, for a degree <a href="chap50.html#X7E54D3E778E6 for a domain <a href="chap50.html#X7E54D3E778E6A53E">50.1-11</a> <br /> <code class="keyw">and</code> <a href="chap20.html#X7A64D25F804973CD">20.4-2</a> <br /> for filters <a href="chap13.html#X84EFA4C07D4277BB">13.2</a> <a href="chap20.html#X7A64D25 <code class="func">ANFAutomorphism</code> <a href="chap60.html#X8643D4B47A827D9D">60.4-2</ <code class="func">AntiIsomorphismTransformationSemigroup</code> <a href="chap53.html#X8 antisymmetric relation <a href="chap33.html#X870F72C38550A0A4">33.2-4</a> <br /> <code class="func">AntiSymmetricParts</code> <a href="chap72.html#X8329E934829FE965">72.1 <code class="func">Append</code> <a href="chap21.html#X79E31DB27C82D6E1">21.4-5</a> <br /> for two row list matrices <a href="chap26.html#X82D0359B81F8D442">26.12-9</a> <br /> <code class="func">AppendTo</code> <a href="chap9.html#X86956C577FFEE1F9">9.8-3</a> <br /> for streams <a href="chap10.html#X7F4E090C86AACCF7">10.4-4</a> <br /> <code class="func">ApplicableMethod</code> <a href="chap7.html#X80848FF486BD6F9F">7.2-1</a> < <code class="func">ApplicableMethodTypes</code> <a href="chap7.html#X80848FF486BD6F9F">7. <code class="func">Apply</code> <a href="chap21.html#X8075FBDE7B81B4C8">21.20-9</a> <br /> <code class="func">ApplySimpleReflection</code> <a href="chap64.html#X7829BC4D7F253649">6 <code class="func">ApproximateSuborbitsStabilizerPermGroup</code> <a href="chap43.html#X <code class="func">ARCH_IS_MAC_OS_X</code> <a href="chap3.html#X82A6893A7EC8FA72">3.4-2</a> < <code class="func">ARCH_IS_UNIX</code> <a href="chap3.html#X7C825AF087A27884">3.4-1</a> <br /> <code class="func">ARCH_IS_WINDOWS</code> <a href="chap3.html#X7A14B659847B8627">3.4-3</a> <b <code class="func">ARCH_IS_WSL</code> <a href="chap3.html#X87E7CC3B8395BBB3">3.4-4</a> <br /> <code class="code">arg</code>, special function argument <a href="chap4.html#X815F71EA7BC0E special function argument, calling with <a href="chap4.html#X80B93A9C7E0A57F4">4.12-1</a> <b <code class="func">Argument</code>, for complex floats <a href="chap19.html#X7B0269D983F966 arithmetic operators, precedence <a href="chap4.html#X7B66C8707B5DE10A">4.14</a> <br /> <code class="func">ArithmeticElementCreator</code> <a href="chap80.html#X87A88E3D7F6E2A7 <code class="func">Arrangements</code> <a href="chap16.html#X7837B3357C7566C8">16.2-4</a> <br arrow notation for functions <a href="chap4.html#X815F71EA7BC0EB6F">4.11</a> <br /> <code class="func">AsAlgebra</code> <a href="chap62.html#X7BA35CB28062D407">62.9-7</a> <br /> <code class="func">AsAlgebraWithOne</code> <a href="chap62.html#X878323367D0B68EB">62.9-8< <code class="func">AsBinaryRelationOnPoints</code>, for a binary relation <a href="chap33.ht for a permutation <a href="chap33.html#X8315C7A47CEB6BB3">33.3-3</a> <br /> for a transformation <a href="chap33.html#X8315C7A47CEB6BB3">33.3-3</a> <br /> <code class="func">AsBlockMatrix</code> <a href="chap24.html#X7D675B3C79CF8871">24.17-1</a> < <code class="func">AscendingChain</code> <a href="chap39.html#X84112774812180DD">39.17-16< <code class="func">AsDivisionRing</code> <a href="chap58.html#X7C193B7D7AFB29BE">58.1-9</a> < <code class="func">AsDuplicateFreeList</code> <a href="chap21.html#X7F5D4DD87E4378AC">21. <code class="func">AsField</code> <a href="chap58.html#X7C193B7D7AFB29BE">58.1-9</a> <br /> <code class="func">AsGroup</code> <a href="chap39.html#X7A0747F17B50D967">39.2-5</a> <br /> <code class="func">AsGroupGeneralMappingByImages</code> <a href="chap40.html#X785AB6057F <code class="func">Asin</code> <a href="chap19.html#X8151581186F75BA3">19.2-14</a> <br /> <code class="func">Asinh</code> <a href="chap19.html#X8151581186F75BA3">19.2-14</a> <br /> <code class="func">AsInternalFFE</code> <a href="chap59.html#X807959EE82CED148">59.2-6</a> <b <code class="func">AsLeftIdeal</code> <a href="chap56.html#X83D9D7408706B69A">56.2-11</a> <br <code class="func">AsLeftModule</code> <a href="chap57.html#X7EB3E46D7BC4A35C">57.1-5</a> <br <code class="func">AsList</code> <a href="chap30.html#X8289FCCC8274C89D">30.3-8</a> <br /> <code class="func">AsMagma</code> <a href="chap35.html#X84ED076D7E46AB79">35.2-10</a> <br /> <code class="func">AsMonoid</code> <a href="chap51.html#X7B22038F832B9C0F">51.2-5</a> <br /> <code class="func">AsPartialPerm</code>, for a permutation <a href="chap54.html#X81B32CB182 for a permutation and a positive integer <a href="chap54.html#X81B32CB182489ACA">54.4-1</a> <b for a permutation and a set of positive integers <a href="chap54.html#X81B32CB182489ACA">54. for a transformation and a positive integer <a href="chap54.html#X87EC67747B260E98">54.4-2< for a transformation and a set of positive integer <a href="chap54.html#X87EC67747B260E98">5 <code class="func">AsPermutation</code> <a href="chap42.html#X8353AB8987E35DF3">42.5-6</a> <b <code class="func">AsPolynomial</code> <a href="chap66.html#X7914771F7C6013EF">66.4-5</a> <br <code class="func">AsRightIdeal</code> <a href="chap56.html#X83D9D7408706B69A">56.2-11</a> <b <code class="func">AsSemigroup</code> <a href="chap51.html#X80ED104F85AE5134">51.1-6</a> <br /> <code class="func">Assert</code> <a href="chap7.html#X830E443284780FB9">7.5-3</a> <br /> <code class="func">AssertionLevel</code> <a href="chap7.html#X876C83707F13A0FD">7.5-2</a> <br <code class="func">AsSet</code> <a href="chap30.html#X856D927378C33548">30.3-10</a> <br /> <code class="func">AssignGeneratorVariables</code> <a href="chap37.html#X814203E281F3272 assignment, to a list <a href="chap21.html#X8611EF768210625B">21.4</a> <br /> to a record <a href="chap29.html#X806DE3BD78742CA4">29.3</a> <br /> variable <a href="chap4.html#X7E6A50307F4D3FAE">4.15-1</a> <br /> <code class="func">AssignNiceMonomorphismAutomorphismGroup</code> <a href="chap40.html#X <code class="func">AssociatedPartition</code> <a href="chap16.html#X7DB9BEB6856EC03D">16. <code class="func">AssociatedReesMatrixSemigroupOfDClass</code> <a href="chap51.html#X7D <code class="func">Associates</code> <a href="chap56.html#X7A69C9097E17D161">56.5-4</a> <br /> associativity <a href="chap4.html#X7BAFE9C1817253C6">4.7</a> <a href="chap4.html#X7B66C87 <code class="func">AssocWordByLetterRep</code> <a href="chap37.html#X7AC8EC757CFB9A51">37 <code class="func">AsSortedList</code> <a href="chap30.html#X7BCA5C6181391007">30.3-9</a> <br <code class="func">AsSSortedList</code> <a href="chap30.html#X856D927378C33548">30.3-10</a> < <code class="code">As<var class="Arg">Struct</var></code> <a href="chap31.html#X7EA77DE17DD8A <code class="func">AsSubalgebra</code> <a href="chap62.html#X7A922D26805AFF99">62.9-9</a> <br <code class="func">AsSubalgebraWithOne</code> <a href="chap62.html#X7B964BC37A975E48">62. <code class="func">AsSubgroup</code> <a href="chap39.html#X7904AC9D7E9A3BB7">39.3-4</a> <br /> <code class="func">AsSubgroupOfWholeGroupByQuotient</code> <a href="chap47.html#X84E6CEA <code class="func">AsSubmagma</code> <a href="chap35.html#X87EEEC018129F0F4">35.2-11</a> <br /> <code class="func">AsSubmonoid</code> <a href="chap51.html#X7C9A12DE8287B2D3">51.2-6</a> <br /> <code class="func">AsSubsemigroup</code> <a href="chap51.html#X7B1EEA3E82BFE09F">51.1-7</a> < <code class="func">AsSubspace</code> <a href="chap61.html#X7D4F84C27EDAC89B">61.2-4</a> <br /> <code class="code">AsSub<var class="Arg">struct</var></code> <a href="chap31.html#X7B58FDEF80 <code class="func">AsTransformation</code> <a href="chap53.html#X7C5360B2799943F3">53.3-1< <code class="func">AsTwoSidedIdeal</code> <a href="chap56.html#X83D9D7408706B69A">56.2-11< <code class="func">AsVectorSpace</code> <a href="chap61.html#X7B001BAF7D5FD5D0">61.2-3</a> <b at exit functions <a href="chap6.html#X83704B1080FD9B40">6.7</a> <br /> <code class="func">Atan</code> <a href="chap19.html#X8151581186F75BA3">19.2-14</a> <br /> <code class="func">Atan2</code> <a href="chap19.html#X846E1196844B9E11">19.2-10</a> <br /> <code class="func">Atanh</code> <a href="chap19.html#X8151581186F75BA3">19.2-14</a> <br /> <code class="func">AtlasIrrationality</code> <a href="chap18.html#X812E334E7A869D33">18.4 atomic irrationalities <a href="chap18.html#X7B242083873DD74F">18.4</a> <br /> <code class="func">AttributeValueNotSet</code> <a href="chap13.html#X8529F8A17884A32C">13 <code class="func">AugmentationIdeal</code> <a href="chap65.html#X7B21DB3E7CD80983">65.1- <code class="func">AugmentedCosetTableInWholeGroup</code> <a href="chap47.html#X80F8BF1D <code class="func">AugmentedCosetTableMtc</code> <a href="chap47.html#X7AF67CFD846C1159"> <code class="func">AugmentedCosetTableRrs</code> <a href="chap47.html#X7F3F09C778552811"> <code class="code">Autocompleter</code> <a href="chap3.html#X870A11E7864F9CA7">3.2-5</a> <br /> automatic loading of <strong class="pkg">GAP</strong> packages <a href="chap76.html#X79B373A automorphism group, of number fields <a href="chap60.html#X7E4AB4B17C7BA10C">60.4</a> <br /> <code class="func">AutomorphismDomain</code> <a href="chap40.html#X7B767B9D827EB0FC">40.7 <code class="func">AutomorphismGroup</code> <a href="chap40.html#X87677B0787B4461A">40.7- <code class="code">AutomorphismGroup</code>, for groups with pcgs <a href="chap45.html#X7A19 <code class="func">AutomorphismsOfTable</code> <a href="chap71.html#X7C2753DE8094F4BA">71 autoreadable variables <a href="chap76.html#X7A7835A5797AF766">76.13</a> <br /> <span class="SimpleMath">b_N</span> (irrational value) <a href="chap18.html#X8414ED887AF36 backslash character <a href="chap27.html#X82E5F5AB818F32DB">27.2</a> <br /> backspace character <a href="chap27.html#X82E5F5AB818F32DB">27.2</a> <br /> Backtrace, GAP3 name for Where <a href="chap6.html#X7A7FFA2B7C1EF5A3">6.4-5</a> <br /> <code class="code">BANNER</code> <a href="chap77.html#X7F6A6CBC7C9E91E5">77.4</a> <br /> banner, for a GAP package <a href="chap76.html#X784E0A5A7DB88332">76.17</a> <br /> <code class="func">BaseDomain</code>, for a matrix object <a href="chap26.html#X8662026C7CCD for a vector object <a href="chap26.html#X8662026C7CCDB446">26.3-1</a> <br /> <code class="func">BaseFixedSpace</code> <a href="chap24.html#X7AB5AC547809F999">24.7-8</a> < <code class="func">BaseIntersectionIntMats</code> <a href="chap25.html#X8771349D865C9179 <code class="func">BaseIntMat</code> <a href="chap25.html#X7F66E8EA7D1AA2C1">25.1-4</a> <br /> <code class="func">BaseMat</code> <a href="chap24.html#X7AD6B5F5794D9E46">24.11-1</a> <br /> <code class="func">BaseMatDestructive</code> <a href="chap24.html#X78B094597E382A5F">24.1 <code class="func">BaseOfGroup</code> <a href="chap43.html#X7D2A190D8308ED39">43.10-2</a> <br <code class="func">BaseOrthogonalSpaceMat</code> <a href="chap24.html#X78B94EFF87A455BE"> <code class="func">BaseStabChain</code> <a href="chap43.html#X7FBE6EB57EBE8B7D">43.10-1</a> < <code class="func">BaseSteinitzVectors</code> <a href="chap24.html#X8245D54F7AC532EB">24. <code class="func">BasicSpinRepresentationOfSymmetricGroup</code> <a href="chap39.html#X <code class="func">BasicWreathProductOrdering</code> <a href="chap34.html#X79D1019E7C3E5 <code class="func">Basis</code> <a href="chap61.html#X837BE54C80DE368E">61.5-2</a> <br /> <code class="func">BasisNC</code> <a href="chap61.html#X837BE54C80DE368E">61.5-2</a> <br /> <code class="func">BasisNullspaceModN</code> <a href="chap24.html#X7D7DF873826A7C20">24.1 <code class="func">BasisVectors</code> <a href="chap61.html#X7B1F17AE8027A590">61.6-1</a> <br <code class="func">Bell</code> <a href="chap16.html#X7DC5667580522BDA">16.1-3</a> <br /> <code class="func">Bernoulli</code> <a href="chap16.html#X792FF6EA786A5C2B">16.1-4</a> <br /> <code class="func">BestQuoInt</code> <a href="chap14.html#X795170A385AC8FEE">14.3-2</a> <br /> <code class="func">BestSplittingMatrix</code> <a href="chap71.html#X7BFD4C1A821731FB">71. <code class="func">BetaSet</code> <a href="chap16.html#X8796C1D783ED9CB4">16.2-33</a> <br /> <code class="func">BiAlgebraModule</code> <a href="chap62.html#X84517770868DDA02">62.11-6< <code class="func">BiAlgebraModuleByGenerators</code> <a href="chap62.html#X7F28A47E8764 <code class="func">BibEntry</code> <a href="chap76.html#X79EA4BD37940AD25">76.3-18</a> <br /> bicoset <a href="chap39.html#X78F4F0D8838F5ABF">39.7-5</a> <br /> <code class="func">BilinearFormMat</code> <a href="chap64.html#X878644D68571BF44">64.6-13< binary relation <a href="chap33.html#X838651287FCCEFD8">33.</a> <br /> <code class="func">BinaryRelationByElements</code> <a href="chap33.html#X7A1D8EEF8034B0B <code class="func">BinaryRelationOnPoints</code> <a href="chap33.html#X79E40E9385274F89"> <code class="func">BinaryRelationOnPointsNC</code> <a href="chap33.html#X79E40E9385274F8 <code class="func">BindConstant</code> <a href="chap4.html#X7D39D3E17CF49F5B">4.9-8</a> <br /> <code class="func">BindGlobal</code> <a href="chap4.html#X7D39D3E17CF49F5B">4.9-8</a> <br /> <code class="func">Binomial</code> <a href="chap16.html#X7A9AF5F58682819D">16.1-2</a> <br /> <code class="func">BisectInterval</code> <a href="chap19.html#X7EC15DAE7CBBB42E">19.5-10</ blank <a href="chap4.html#X7C53CEFC8641B919">4.4</a> <br /> <code class="func">BlistList</code> <a href="chap22.html#X7C597B2D87CA2E6E">22.2-1</a> <br /> <code class="func">BlockMatrix</code> <a href="chap24.html#X8633538685551E7A">24.17-2</a> <br <code class="func">Blocks</code>, for a group, an action domain, etc. <a href="chap41.html#X84F for an external set <a href="chap41.html#X84FE699F85371643">41.11-1</a> <br /> <code class="func">BlocksInfo</code> <a href="chap71.html#X7FF4CE4A7A272F88">71.11-3</a> <br /> <code class="func">BlownUpMat</code> <a href="chap24.html#X85923C107A4569D0">24.13-4</a> <br /> <code class="func">BlownUpVector</code> <a href="chap24.html#X82AC277D84EC5749">24.13-5</a> < <code class="func">BlowupInterval</code> <a href="chap19.html#X879EE14282DD1539">19.5-9</a> < <code class="func">BlowUpIsomorphism</code> <a href="chap44.html#X849C451A80B4A210">44.3- body <a href="chap4.html#X815F71EA7BC0EB6F">4.11</a> <br /> <code class="func">BombieriNorm</code> <a href="chap66.html#X8723075C81D2CCA6">66.12-1</a> <b bound <a href="chap4.html#X7A4C2D0E7E286B4F">4.8</a> <br /> Brauer character <a href="chap72.html#X7FE3CD08794051F8">72.8-1</a> <br /> <code class="func">BrauerCharacterValue</code> <a href="chap72.html#X8304B68E84511685">72 <code class="func">BrauerTable</code>, for a character table, and a prime integer <a href="chap7 for a group, and a prime integer <a href="chap71.html#X8476B25A79D7A7FC">71.3-2</a> <br /> <code class="func">BrauerTableOp</code> <a href="chap71.html#X8476B25A79D7A7FC">71.3-2</a> <b <code class="func">BravaisGroup</code> <a href="chap44.html#X7AAE301C83116451">44.6-11</a> <b <code class="func">BravaisSubgroups</code> <a href="chap44.html#X788C7D9C7C2301C5">44.6-1 <code class="func">BravaisSupergroups</code> <a href="chap44.html#X7F5FF1A481E08AD5">44.6 Break loop message <a href="chap6.html#X80711C807C99C220">6.4-4</a> <br /> <code class="keyw">break</code> statement <a href="chap4.html#X7B60C6127E183021">4.15-7</a> <b browsing backwards <a href="chap2.html#X7BE8068878B7D7D1">2.2</a> <br /> browsing backwards one chapter <a href="chap2.html#X7BE8068878B7D7D1">2.2</a> <br /> browsing forward <a href="chap2.html#X7BE8068878B7D7D1">2.2</a> <br /> browsing forward one chapter <a href="chap2.html#X7BE8068878B7D7D1">2.2</a> <br /> browsing the next section browsed <a href="chap2.html#X7BE8068878B7D7D1">2.2</a> <br /> browsing the previous section browsed <a href="chap2.html#X7BE8068878B7D7D1">2.2</a> <br /> <code class="func">BuildBitfields</code> <a href="chap14.html#X8068CE3781F4003C">14.8-2</a> < <span class="SimpleMath">c_N</span> (irrational value) <a href="chap18.html#X8414ED887AF36 <code class="func">CallFuncList</code> <a href="chap5.html#X7CF4DDB97D65AE52">5.2-1</a> <br /> <code class="func">CallFuncListWrap</code> <a href="chap5.html#X7CF4DDB97D65AE52">5.2-1</a> < <code class="func">CanComputeIndex</code> <a href="chap39.html#X82DDE00D82A32083">39.26-5< <code class="func">CanComputeIsSubset</code> <a href="chap39.html#X7BE7C36B84C23511">39.2 <code class="func">CanComputeSize</code> <a href="chap39.html#X83245C82835D496C">39.26-3</ <code class="func">CanComputeSizeAnySubgroup</code> <a href="chap39.html#X82689654873649 candidates, for permutation characters <a href="chap72.html#X7D6336857E6BDF46">72.13</a> <b <code class="func">CanEasilyCompareElements</code> <a href="chap31.html#X7EFE013B8634D21 <code class="func">CanEasilyCompareElementsFamily</code> <a href="chap31.html#X7EFE013B8 <code class="func">CanEasilyComputePcgs</code> <a href="chap45.html#X7B561B1685CEC2AB">45 <code class="func">CanEasilyComputeWithIndependentGensAbelianGroup</code> <a href="chap3 <code class="func">CanEasilySortElements</code> <a href="chap31.html#X7EFE013B8634D214">3 <code class="func">CanEasilySortElementsFamily</code> <a href="chap31.html#X7EFE013B8634 <code class="func">CanEasilyTestMembership</code> <a href="chap39.html#X798F13EA810FB215 canonical basis, for matrix spaces <a href="chap61.html#X83D282697C1A3148">61.9-10</a> <br /> for row spaces <a href="chap61.html#X7C3CC5F97FA048A4">61.9-9</a> <br /> <code class="func">CanonicalBasis</code> <a href="chap61.html#X7C8EBFF5805F8C51">61.5-3</a> < <code class="func">CanonicalGenerators</code> <a href="chap64.html#X7FAE45B37C5779A0">64. <code class="func">CanonicalPcElement</code> <a href="chap45.html#X7B52ADE7878A749A">45.5 <code class="func">CanonicalPcgs</code> <a href="chap45.html#X816F6B4187032A10">45.8-2</a> <b <code class="func">CanonicalPcgsByGeneratorsWithImages</code> <a href="chap45.html#X8480 <code class="func">CanonicalRepresentativeDeterminatorOfExternalSet</code> <a href="chap <code class="func">CanonicalRepresentativeOfExternalSet</code> <a href="chap41.html#X804 <code class="func">CanonicalRightCosetElement</code> <a href="chap39.html#X85884F177B5D9 Carmichael's lambda function 15.2-3 carriage return character <a href="chap27.html#X82E5F5AB818F32DB">27.2</a> <br /> <code class="func">CartanMatrix</code> <a href="chap64.html#X84E3FEF587CB66C3">64.6-12</a> <b <code class="func">CartanSubalgebra</code> <a href="chap64.html#X86114F157DFF6523">64.3-7< <code class="func">Cartesian</code>, for a list <a href="chap21.html#X7E1593B979BDF2CD">21.2 for various objects <a href="chap21.html#X7E1593B979BDF2CD">21.20-15</a> <br /> <code class="func">CategoriesOfObject</code> <a href="chap13.html#X85C6EB707A406A5A">13.3 <code class="func">CategoryByName</code> <a href="chap13.html#X85D07C3E7F4D4043">13.3-3</a> < <code class="func">CategoryCollections</code> <a href="chap30.html#X78C38017804B2EA7">30. <code class="func">CategoryFamily</code> <a href="chap13.html#X787BACEE7937EF01">13.3-6</a> < <code class="func">Ceil</code> <a href="chap19.html#X8151581186F75BA3">19.2-14</a> <br /> center <a href="chap35.html#X7A2BF4527E08803C">35.4-4</a> <br /> <code class="func">Center</code> <a href="chap35.html#X847ABE6F781C7FE8">35.4-5</a> <br /> central character <a href="chap72.html#X7DD8FDCF7FB7834A">72.8-17</a> <br /> <code class="func">CentralCharacter</code> <a href="chap72.html#X7DD8FDCF7FB7834A">72.8-1 <code class="func">CentralIdempotentsOfAlgebra</code> <a href="chap62.html#X82571785846C centraliser <a href="chap35.html#X7A2BF4527E08803C">35.4-4</a> <br /> <code class="func">Centralizer</code>, for a class of objects in a magma <a href="chap35.html#X7 for a magma and a submagma <a href="chap35.html#X7A2BF4527E08803C">35.4-4</a> <br /> for a magma and an element <a href="chap35.html#X7A2BF4527E08803C">35.4-4</a> <br /> <code class="code">Centralizer</code>, for groups with pcgs <a href="chap45.html#X7A19DF1E7E <code class="func">CentralizerInGLnZ</code> <a href="chap44.html#X7DAFB71F86525DE7">44.6- <code class="func">CentralizerModulo</code> <a href="chap39.html#X822A3AB27919BC1E">39.18 <code class="func">CentralizerSizeLimitConsiderFunction</code> <a href="chap45.html#X7B3 <code class="func">CentralNormalSeriesByPcgs</code> <a href="chap45.html#X82266ADA86B2A6 <code class="func">Centre</code> <a href="chap35.html#X847ABE6F781C7FE8">35.4-5</a> <br /> <code class="code">Centre</code>, for groups with pcgs <a href="chap45.html#X7A19DF1E7E84107 centre, of a character <a href="chap72.html#X7E77D4147A0836D3">72.8-11</a> <br /> <code class="func">CentreOfCharacter</code> <a href="chap72.html#X7E77D4147A0836D3">72.8- <code class="func">CF</code>, for (subfield and) conductor <a href="chap60.html#X80D21D80850 for (subfield and) generators <a href="chap60.html#X80D21D80850EFA4B">60.1-1</a> <br /> <code class="func">ChangedBaseDomain</code>, for a matrix object <a href="chap26.html#X85E89 for a vector object <a href="chap26.html#X85E896F67CE2F925">26.6-3</a> <br /> <code class="func">ChangeDirectoryCurrent</code> <a href="chap9.html#X81DDD2E87F68E086">9 <code class="func">ChangeStabChain</code> <a href="chap43.html#X87FF64AB87BFC779">43.11-3< <code class="func">Character</code>, for a character table and a list <a href="chap72.html#X849 for a group and a list <a href="chap72.html#X849DD34C7968206C">72.6-3</a> <br /> character tables <a href="chap71.html#X8701174D86B586AF">71.3</a> <br /> access to <a href="chap71.html#X8701174D86B586AF">71.3</a> <br /> calculate <a href="chap71.html#X8701174D86B586AF">71.3</a> <br /> infix operators <a href="chap71.html#X7CADCBC9824CB624">71.7</a> <br /> of groups <a href="chap71.html#X8701174D86B586AF">71.3</a> <br /> character value, of group element using powering operator <a href="chap72.html#X83B9F0C587 <code class="func">CharacterDegrees</code>, for a character table <a href="chap71.html#X81FE for a group <a href="chap71.html#X81FEFF768134481A">71.8-1</a> <br /> <code class="func">Characteristic</code> <a href="chap31.html#X81278E53800BF64D">31.10-1</ for a class function <a href="chap72.html#X83AAD5527BBAFA03">72.4-1</a> <br /> for matrix object <a href="chap26.html#X819F87A07DA7E2DC">26.10-1</a> <br /> for vector object <a href="chap26.html#X7F8CE23F7A250072">26.8-1</a> <br /> characteristic polynomial, for field elements <a href="chap58.html#X80FE7E017C2D255C">58 <code class="func">CharacteristicPolynomial</code> <a href="chap24.html#X87FA0A727CDB060 <code class="func">CharacteristicSubgroups</code> <a href="chap39.html#X7A823C5A810910C3 <code class="func">CharacterNames</code> <a href="chap71.html#X804CFD597C795801">71.9-6</a> < <code class="func">CharacterParameters</code> <a href="chap71.html#X8333E8038308947E">71. characters <a href="chap72.html#X7C91D0D17850E564">72.</a> <br /> permutation <a href="chap72.html#X7D6336857E6BDF46">72.13</a> <br /> symmetrizations of <a href="chap72.html#X7E220413823330EC">72.11-1</a> <br /> <code class="func">CharacterTable</code>, for a group <a href="chap71.html#X7FCA7A7A822BDA3 for a string <a href="chap71.html#X7FCA7A7A822BDA33">71.3-1</a> <br /> for an ordinary character table <a href="chap71.html#X7FCA7A7A822BDA33">71.3-1</a> <br /> <code class="func">CharacterTableDirectProduct</code> <a href="chap71.html#X7BE1572D7BBC <code class="func">CharacterTableFactorGroup</code> <a href="chap71.html#X7C3A4E5283B240 <code class="func">CharacterTableIsoclinic</code> <a href="chap71.html#X85BE46F784B83938 for a Brauer table and an ordinary table <a href="chap71.html#X85BE46F784B83938">71.20-4</a> <b for a character table and one or two lists <a href="chap71.html#X85BE46F784B83938">71.20-4</a> < <code class="func">CharacterTableOfNormalSubgroup</code> <a href="chap71.html#X806E55A58 <code class="func">CharacterTableRegular</code> <a href="chap71.html#X85DB8AE7786A2DB5">7 <code class="func">CharacterTableWithSortedCharacters</code> <a href="chap71.html#X7D9C4 <code class="func">CharacterTableWithSortedClasses</code> <a href="chap71.html#X7E3DE0A4 <code class="func">CharacterTableWithStoredGroup</code> <a href="chap71.html#X8788C6C782 <code class="func">CharacterTableWreathSymmetric</code> <a href="chap71.html#X79B75C8582 <code class="func">CharacterValueWreathSymmetric</code> <a href="chap71.html#X83E71B1F7F <code class="func">CharInt</code> <a href="chap27.html#X87B6C1AF7E4A6639">27.8-2</a> <br /> <code class="func">CharsFamily</code> <a href="chap27.html#X7DA671FC7F490C16">27.4-6</a> <br /> <code class="func">CharSInt</code> <a href="chap27.html#X78E6611A829DDA3E">27.8-4</a> <br /> <code class="func">CheckDigitISBN</code> <a href="chap14.html#X82BABA8F868BD425">14.6-1</a> < <code class="func">CheckDigitISBN13</code> <a href="chap14.html#X82BABA8F868BD425">14.6-1< <code class="func">CheckDigitPostalMoneyOrder</code> <a href="chap14.html#X82BABA8F868BD <code class="func">CheckDigitTestFunction</code> <a href="chap14.html#X85F1A6A5870485B9"> <code class="func">CheckDigitUPC</code> <a href="chap14.html#X82BABA8F868BD425">14.6-1</a> <b <code class="func">CheckFixedPoints</code> <a href="chap73.html#X7B6EC10C7F7411E9">73.5-1 <code class="func">CheckForHandlingByNiceBasis</code> <a href="chap61.html#X7A374553786D <code class="func">CheckPermChar</code> <a href="chap73.html#X82F776A3850C6404">73.7-2</a> <b checksum <a href="chap9.html#X8241CEAD80415BB9">9.8-7</a> <a href="chap27.html#X7D4B9D7A7 <code class="func">ChevalleyBasis</code> <a href="chap64.html#X82EBF10A7B3B6F6E">64.6-2</a> < <code class="func">ChiefNormalSeriesByPcgs</code> <a href="chap45.html#X83C5ABC587074B14 <code class="func">ChiefSeries</code> <a href="chap39.html#X7BDD116F7833800F">39.17-1</a> <br <code class="func">ChiefSeriesThrough</code> <a href="chap39.html#X7AC93E977AC9ED58">39.1 <code class="func">ChiefSeriesUnderAction</code> <a href="chap39.html#X8724E15F81B51173"> Chinese remainder <a href="chap14.html#X84A1900E82902B5F">14.3-9</a> <br /> <code class="func">ChineseRem</code> <a href="chap14.html#X84A1900E82902B5F">14.3-9</a> <br /> <code class="func">Chomp</code> <a href="chap27.html#X79F8FFC5876D854A">27.7-21</a> <br /> <code class="func">Cite</code> <a href="chap76.html#X79637D9A7B1AD7F7">76.3-19</a> <br /> <code class="func">CIUnivPols</code> <a href="chap66.html#X791A06E67F784328">66.1-5</a> <br /> class function <a href="chap72.html#X7E75A70F7BF00A0D">72.1-1</a> <br /> class function objects <a href="chap72.html#X7E75A70F7BF00A0D">72.1-1</a> <br /> class functions <a href="chap73.html#X7F18772E86F06179">73.5</a> <br /> as ring elements <a href="chap72.html#X83B9F0C5871A5F7F">72.4</a> <br /> class multiplication coefficient <a href="chap71.html#X7E2EA9FE7D3062D3">71.12-7</a> <a hre <code class="func">ClassElementLattice</code> <a href="chap39.html#X78928A3582882BFD">39. classes, real <a href="chap71.html#X87FF547981456932">71.9-11</a> <br /> <code class="func">ClassesSolvableGroup</code> <a href="chap45.html#X79593F667A68A21D">45 <code class="func">ClassFunction</code>, for a character table and a list <a href="chap72.html# for a group and a list <a href="chap72.html#X78F4E23985FCA259">72.6-1</a> <br /> <code class="func">ClassFunctionSameType</code> <a href="chap72.html#X7B38035981D71B1B">7 <code class="code">ClassMultiplicationCoefficient</code>, for character tables <a href="cha <code class="func">ClassMultiplicationCoefficient</code>, for character tables <a href="cha <code class="func">ClassNames</code> <a href="chap71.html#X804CFD597C795801">71.9-6</a> <br /> <code class="func">ClassNamesTom</code> <a href="chap70.html#X7A53E923819FE173">70.7-5</a> <b <code class="func">ClassOrbit</code> <a href="chap71.html#X7ABB007C799F7C49">71.9-12</a> <br /> <code class="func">ClassParameters</code> <a href="chap71.html#X8333E8038308947E">71.9-7</ <code class="func">ClassPermutation</code> <a href="chap71.html#X8099FEDC7DE03AEE">71.21- <code class="func">ClassPositionsOfAgemo</code> <a href="chap71.html#X8491DA0981D6F264">7 <code class="func">ClassPositionsOfCenter</code>, for a character table <a href="chap71.html <code class="func">ClassPositionsOfCentre</code>, for a character <a href="chap72.html#X7CE for a character table <a href="chap71.html#X7A6B1F8A84A495DC">71.10-3</a> <br /> <code class="func">ClassPositionsOfDerivedSubgroup</code> <a href="chap71.html#X79EE7BE1 <code class="func">ClassPositionsOfDirectProductDecompositions</code> <a href="chap71.ht <code class="func">ClassPositionsOfElementaryAbelianSeries</code> <a href="chap71.html#X <code class="func">ClassPositionsOfFittingSubgroup</code> <a href="chap71.html#X7D2A55A5 <code class="func">ClassPositionsOfKernel</code> <a href="chap72.html#X7B4708B47D9C05B3"> <code class="func">ClassPositionsOfLowerCentralSeries</code> <a href="chap71.html#X79AEF <code class="func">ClassPositionsOfMaximalNormalSubgroups</code> <a href="chap71.html#X8 <code class="func">ClassPositionsOfMinimalNormalSubgroups</code> <a href="chap71.html#X8 <code 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