<?xml version="1.0" encoding="UTF-8" ?>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 >script type="text/javascript" "https://cdn.jsdelivr.net/npm/mathjax@2/MathJax.js?config=TeX-AMS-MML_HTMLorMML " >script >title >GAP (LAGUNA) - 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_mj.html" >Top</a> <a href="chap1_mj.html" >1</a> <a href="chap2_mj.html" >2</a> <a href="chap3_mj.html" >3</a> <a href="chap4_mj.html" >4</a> <a href="chapBib_mj.html" >Bib</a> <a href="chapInd_mj.html" >Ind</a> </div >div class="chlinkprevnexttop" > <a href="chap0_mj.html" >[Top of Book]</a> <a href="chap0_mj.html#contents" >[Contents]</a> <a href="chapBib_mj.html" >[Previous Chapter]</a> </div >"mathjaxlink" class="pcenter" ><a href="chapInd.html" >[MathJax off]</a></p>"X83A0356F839C696F" name="X83A0356F839C696F" ></a></p>div class="index" >code class="func" >Augmentation</code > <a href="chap4_mj.html#X86FA17BE858F2245" >4.2-5</a> <br />"chap3_mj.html#X85C2DE1486FB45FD" >3.1</a> <br />"chap3_mj.html#X85C2DE1486FB45FD" >3.1</a> <br />code class="func" >AugmentationHomomorphism</code > <a href="chap4_mj.html#X7F7FD75E84BEE0EF" >4.3-1</a> <br />code class="func" >AugmentationIdeal</code > <a href="chap4_mj.html#X7B21DB3E7CD80983" >4.3-2</a> <br />code class="func" >AugmentationIdealNilpotencyIndex</code > <a href="chap4_mj.html#X8567023A821E39A6" >4.3-6</a> <br />code class="func" >AugmentationIdealOfDerivedSubgroupNilpotencyIndex</code > <a href="chap4_mj.html#X7C0D5F3C842302EC" >4.3-7</a> <br />code class="func" >AugmentationIdealPowerSeries</code > <a href="chap4_mj.html#X84B25D3A812A8A2E" >4.3-5</a> <br />"chap4_mj.html#X8631AD178508D219" >4.2-13</a> <br />code class="func" >BassCyclicUnit</code > <a href="chap4_mj.html#X8631AD178508D219" >4.2-13</a> <br />"chap4_mj.html#X7FD01F52845445EC" >4.2-12</a> <br />code class="func" >BicyclicUnitGroup</code > <a href="chap4_mj.html#X859F07AE7A4D317B" >4.4-13</a> <br />code class="func" >BicyclicUnitOfType1</code > <a href="chap4_mj.html#X7FD01F52845445EC" >4.2-12</a> <br />code class="func" >BicyclicUnitOfType2</code > <a href="chap4_mj.html#X7FD01F52845445EC" >4.2-12</a> <br />code class="func" >CanonicalBasis</code > <a href="chap4_mj.html#X7C8EBFF5805F8C51" >4.5-16</a> <br />code class="func" >CoefficientsBySupport</code > <a href="chap4_mj.html#X8401D79C8678D3FA" >4.2-2</a> <br />code class="func" >DihedralDepth</code > <a href="chap4_mj.html#X7AFBD42180787A07" >4.6-2</a> <br "chap3_mj.html#X7B74767A849D921E" >3.3</a> <br />code class="func" >DimensionBasis</code > <a href="chap4_mj.html#X7D7CD02F803FFC08" >4.6-3</a> <br />code class="func" >Embedding</code >, from group to Lie algebra <a href="chap4_mj.html#X833439F7846784B5" >4.5-8</a> <br />"chap4_mj.html#X84D64AF17941FA7F" >4.4-5</a> <br />"chap3_mj.html#X85C2DE1486FB45FD" >3.1</a> <br />code class="func" >GroupBases</code > <a href="chap4_mj.html#X7A39E44D87CDF7B0" >4.4-14</a> <br />code class="func" >InverseOp</code > <a href="chap4_mj.html#X82EC4F49877D6EB1" >4.2-11</a> <br />code class="func" >Involution</code > <a href="chap4_mj.html#X81EB2A0A8756372B" >4.2-7</a> <br />code class="func" >IsBasisOfLieAlgebraOfGroupRing</code > <a href="chap4_mj.html#X83026DFF8461B96D" >4.5-17</a> <br />code class="func" >IsFModularGroupAlgebra</code > <a href="chap4_mj.html#X82DBCA8F7DB21AC5" >4.1-2</a> <br />code class="func" >IsGroupAlgebra</code > <a href="chap4_mj.html#X861A702283A667DF" >4.1-1</a> <br />code class="func" >IsGroupOfUnitsOfMagmaRing</code > <a href="chap4_mj.html#X7F2532888184CB22" >4.4-8</a> <br />code class="func" >IsLieAbelian</code > <a href="chap4_mj.html#X7F97D08F7B738ADE" >4.5-11</a> <br code class="func" >IsLieAlgebraByAssociativeAlgebra</code > <a href="chap4_mj.html#X7AA7DA6082639B23" >4.5-2</a> <br />code class="func" >IsLieAlgebraOfGroupRing</code > <a href="chap4_mj.html#X78C26E3F80E55AC2" >4.5-6</a> <br />code class="func" >IsLieCentreByMetabelian</code > <a href="chap4_mj.html#X7EEAA09F818CE548" >4.5-15</a> <br />code class="func" >IsLieMetabelian</code > <a href="chap4_mj.html#X8504EC257B764BA6" >4.5-14</a> <br />code class="func" >IsLieNilpotent</code > <a href="chap4_mj.html#X78452F4E875A62A8" >4.5-13</a> <br />code class="func" >IsLieSolvable</code > <a href="chap4_mj.html#X859FF1B3812B8FCC" >4.5-12</a> <br />code class="func" >IsNormalizedUnitGroupOfGroupRing</code > <a href="chap4_mj.html#X82AC131384191CCE" >4.4-10</a> <br />code class="func" >IsPModularGroupAlgebra</code > <a href="chap4_mj.html#X849599E07C38A739" >4.1-3</a> <br />code class="func" >IsSymmetric</code > <a href="chap4_mj.html#X82D0BA3D7D3994F6" >4.2-8</a> <br />code class="func" >IsUnit</code > <a href="chap4_mj.html#X85CBFBAE78DE72E8" >4.2-10</a> <br />code class="func" >IsUnitary</code > <a href="chap4_mj.html#X7990BD877E89A9EC" >4.2-9</a> <br />code class="func" >IsUnitGroupOfGroupRing</code > <a href="chap4_mj.html#X7EF9BF297A9412AB" >4.4-9</a> <br />"chap3_mj.html#X7B74767A849D921E" >3.3</a> <br />code class="func" >LAGInfo</code > <a href="chap4_mj.html#X7E5804B881DE4FF2" >4.6-6</a> <br />strong class="pkg" >LAGUNA</strong > package <a href="chap0_mj.html#X7AA6C5737B711C89" >.-1</a> <br />code class="func" >LeftIdealBySubgroup</code > <a href="chap4_mj.html#X837294D57E415E37" >4.3-8</a> <br />code class="func" >Length</code > <a href="chap4_mj.html#X780769238600AFD1" >4.2-4</a> <br />"chap4_mj.html#X7E5950517F0CDB47" >4.5-21</a> <br />"chap4_mj.html#X7E5950517F0CDB47" >4.5-21</a> <br />code class="func" >LieAlgebraByDomain</code > <a href="chap4_mj.html#X7827B4158459DEA0" >4.5-1</a> <br />code class="func" >LieCentre</code > <a href="chap4_mj.html#X8111F58E7DE3E25C" >4.5-9</a> <br />code class="func" >LieDerivedLength</code > <a href="chap4_mj.html#X7E5950517F0CDB47" >4.5-21</a> <br />code class="func" >LieDerivedSubalgebra</code > <a href="chap4_mj.html#X7C95C0057C977747" >4.5-10</a> <br />code class="func" >LieDimensionSubgroups</code > <a href="chap4_mj.html#X84B7C6A38473722F" >4.6-4</a> <br />code class="func" >LieLowerNilpotencyIndex</code > <a href="chap4_mj.html#X7D71DF0579FBE1C9" >4.5-20</a> <br />code class="func" >LieUpperCodimensionSeries</code >, for group <a href="chap4_mj.html#X7B2EAF81791D6C68" >4.6-5</a> <br />"chap4_mj.html#X7B2EAF81791D6C68" >4.6-5</a> <br />code class="func" >LieUpperNilpotencyIndex</code > <a href="chap4_mj.html#X87E9411284D1A346" >4.5-19</a> <br />"chap4_mj.html#X7D71DF0579FBE1C9" >4.5-20</a> <br />"chap4_mj.html#X82DBCA8F7DB21AC5" >4.1-2</a> <br />code class="func" >NaturalBijectionToAssociativeAlgebra</code > <a href="chap4_mj.html#X821DAFD585EA1DF3" >4.5-5</a> <br />code class="func" >NaturalBijectionToLieAlgebra</code > <a href="chap4_mj.html#X84050A268514F2EE" >4.5-4</a> <br />code class="func" >NaturalBijectionToNormalizedUnitGroup</code > <a href="chap4_mj.html#X83715EF37B9FA94A" >4.4-4</a> <br />code class="func" >NaturalBijectionToPcNormalizedUnitGroup</code > <a href="chap4_mj.html#X7E08F6E87C586A36" >4.4-3</a> <br />"chap3_mj.html#X85C2DE1486FB45FD" >3.1</a> <br />"chap3_mj.html#X85C2DE1486FB45FD" >3.1</a> <br />code class="func" >NormalizedUnitGroup</code > <a href="chap4_mj.html#X817D5AC78754527F" >4.4-1</a> <br />span class="SimpleMath" >\(p\)</span >-modular group algebra <a href="chap3_mj.html#X7E26AE6C807D7C07" >3.2</a> <br />"chap4_mj.html#X83A318C887B3E735" >4.2-6</a> <br />code class="func" >PartialAugmentations</code > <a href="chap4_mj.html#X83A318C887B3E735" >4.2-6</a> <br />code class="func" >PcNormalizedUnitGroup</code > <a href="chap4_mj.html#X7D40E42A7B678598" >4.4-2</a> <br />code class="func" >PcUnits</code > <a href="chap4_mj.html#X7E67BDA77E5E6077" >4.4-7</a> <br />"chap3_mj.html#X7E26AE6C807D7C07" >3.2</a> <br />code class="func" >RadicalOfAlgebra</code > <a href="chap4_mj.html#X850C29907A509533" >4.3-3</a> <br />code class="func" >RightIdealBySubgroup</code > <a href="chap4_mj.html#X837294D57E415E37" >4.3-8</a> <br />strong class="pkg" >SISYPHOS</strong > package <a href="chap1_mj.html#X8557083378F2A3B2" >1.1</a> <br />"chap3_mj.html#X7B74767A849D921E" >3.3</a> <br />code class="func" >StructureConstantsTable</code > <a href="chap4_mj.html#X804ADF0280F67CDC" >4.5-18</a> <br />code class="func" >SubgroupsOfIndexTwo</code > <a href="chap4_mj.html#X85CE6B407910F768" >4.6-1</a> <br />code class="func" >Support</code > <a href="chap4_mj.html#X7B689C0284AC4296" >4.2-1</a> <br />"chap4_mj.html#X82D0BA3D7D3994F6" >4.2-8</a> <br />code class="func" >TraceOfMagmaRingElement</code > <a href="chap4_mj.html#X81DD298A7C06EC82" >4.2-3</a> <br />code class="func" >TwoSidedIdalBySubgroup</code > <a href="chap4_mj.html#X837294D57E415E37" >4.3-8</a> <br />code class="func" >UnderlyingAssociativeAlgebra</code > <a href="chap4_mj.html#X85F4712B84624DB8" >4.5-3</a> <br />code class="func" >UnderlyingField</code > <a href="chap4_mj.html#X790470C48340E8F7" >4.1-6</a> <br />code class="func" >UnderlyingGroup</code >, of a group ring <a href="chap4_mj.html#X7C966B177BB62C72" >4.1-4</a> <br />"chap4_mj.html#X87CCD17A790BE256" >4.5-7</a> <br />code class="func" >UnderlyingGroupRing</code > <a href="chap4_mj.html#X82DCA8A57D0D1114" >4.4-11</a> <br />code class="func" >UnderlyingRing</code > <a href="chap4_mj.html#X8534C18E7EA81CB8" >4.1-5</a> <br />"chap3_mj.html#X85C2DE1486FB45FD" >3.1</a> <br />"chap3_mj.html#X85C2DE1486FB45FD" >3.1</a> <br />"chap4_mj.html#X7990BD877E89A9EC" >4.2-9</a> <br />code class="func" >UnitarySubgroup</code > <a href="chap4_mj.html#X7A0FFABC86F89517" >4.4-12</a> <br />code class="func" >Units</code > <a href="chap4_mj.html#X853C045B7BA6A580" >4.4-6</a> <br />"chap4_mj.html#X87E9411284D1A346" >4.5-19</a> <br />"chap3_mj.html#X7B74767A849D921E" >3.3</a> <br />code class="func" >WeightedBasis</code > <a href="chap4_mj.html#X8292BEFC7922E773" >4.3-4</a> <br div >div class="chlinkprevnextbot" > <a href="chap0_mj.html" >[Top of Book]</a> <a href="chap0_mj.html#contents" >[Contents]</a> <a href="chapBib_mj.html" >[Previous Chapter]</a> </div >div class="chlinkbot" ><span class="chlink1" >Goto Chapter: </span ><a href="chap0_mj.html" >Top</a> <a href="chap1_mj.html" >1</a> <a href="chap2_mj.html" >2</a> <a href="chap3_mj.html" >3</a> <a href="chap4_mj.html" >4</a> <a href="chapBib_mj.html" >Bib</a> <a href="chapInd_mj.html" >Ind</a> </div >hr />"foot" >generated by <a href="https://www.math.rwth-aachen.de/~Frank.Luebeck/GAPDoc " 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