<?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>
<
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.html">Top</
a> <
a href="chap1.html">1</a> <a href="chap2.html">2</a> <a href="chap3.html">3</a> <a href="chap4.html">4</a> <a href="chapBib.html">Bib</a> <a href="chapInd.html">Ind</a> </div>
<div class="chlinkprevnexttop"> <a href="chap0.html">[Top of Book]</a> <a href="chap0.html#contents">[Contents]</a> <a href="chapBib.html">[Previous Chapter]</a> </div>
<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="func">Augmentation</code> <a href="chap4.html#X86FA17BE858F2245">4.2-5</a> <br />
augmentation homomorphism <a href="chap3.html#X85C2DE1486FB45FD">3.1</a> <br />
augmentation ideal <a href="chap3.html#X85C2DE1486FB45FD">3.1</a> <br />
<code class="func">AugmentationHomomorphism</code> <a href="chap4.html#X7F7FD75E84BEE0EF">4.3-1</a> <br />
<code class="func">AugmentationIdeal</code> <a href="chap4.html#X7B21DB3E7CD80983">4.3-2</a> <br />
<code class="func">AugmentationIdealNilpotencyIndex</code> <a href="chap4.html#X8567023A821E39A6">4.3-6</a> <br />
<code class="func">AugmentationIdealOfDerivedSubgroupNilpotencyIndex</code> <a href="chap4.html#X7C0D5F3C842302EC">4.3-7</a> <br />
<code class="func">AugmentationIdealPowerSeries</code> <a href="chap4.html#X84B25D3A812A8A2E">4.3-5</a> <br />
Bass cyclic unit <a href="chap4.html#X8631AD178508D219">4.2-13</a> <br />
<code class="func">BassCyclicUnit</code> <a href="chap4.html#X8631AD178508D219">4.2-13</a> <br />
bicyclic unit <a href="chap4.html#X7FD01F52845445EC">4.2-12</a> <br />
<code class="func">BicyclicUnitGroup</code> <a href="chap4.html#X859F07AE7A4D317B">4.4-13</a> <br />
<code class="func">BicyclicUnitOfType1</code> <a href="chap4.html#X7FD01F52845445EC">4.2-12</a> <br />
<code class="func">BicyclicUnitOfType2</code> <a href="chap4.html#X7FD01F52845445EC">4.2-12</a> <br />
<code class="func">CanonicalBasis</code> <a href="chap4.html#X7C8EBFF5805F8C51">4.5-16</a> <br />
<code class="func">CoefficientsBySupport</code> <a href="chap4.html#X8401D79C8678D3FA">4.2-2</a> <br />
<code class="func">DihedralDepth</code> <a href="chap4.html#X7AFBD42180787A07">4.6-2</a> <br />
dimension basis <a href="chap3.html#X7B74767A849D921E">3.3</a> <br />
<code class="func">DimensionBasis</code> <a href="chap4.html#X7D7CD02F803FFC08">4.6-3</a> <br />
<code class="func">Embedding</code>, from group to Lie algebra <a href="chap4.html#X833439F7846784B5">4.5-8</a> <br />
from group to unit group <a href="chap4.html#X84D64AF17941FA7F">4.4-5</a> <br />
group algebra <a href="chap3.html#X85C2DE1486FB45FD">3.1</a> <br />
<code class="func">GroupBases</code> <a href="chap4.html#X7A39E44D87CDF7B0">4.4-14</a> <br />
<code class="func">InverseOp</code> <a href="chap4.html#X82EC4F49877D6EB1">4.2-11</a> <br />
<code class="func">Involution</code> <a href="chap4.html#X81EB2A0A8756372B">4.2-7</a> <br />
<code class="func">IsBasisOfLieAlgebraOfGroupRing</code> <a href="chap4.html#X83026DFF8461B96D">4.5-17</a> <br />
<code class="func">IsFModularGroupAlgebra</code> <a href="chap4.html#X82DBCA8F7DB21AC5">4.1-2</a> <br />
<code class="func">IsGroupAlgebra</code> <a href="chap4.html#X861A702283A667DF">4.1-1</a> <br />
<code class="func">IsGroupOfUnitsOfMagmaRing</code> <a href="chap4.html#X7F2532888184CB22">4.4-8</a> <br />
<code class="func">IsLieAbelian</code> <a href="chap4.html#X7F97D08F7B738ADE">4.5-11</a> <br />
<code class="func">IsLieAlgebraByAssociativeAlgebra</code> <a href="chap4.html#X7AA7DA6082639B23">4.5-2</a> <br />
<code class="func">IsLieAlgebraOfGroupRing</code> <a href="chap4.html#X78C26E3F80E55AC2">4.5-6</a> <br />
<code class="func">IsLieCentreByMetabelian</code> <a href="chap4.html#X7EEAA09F818CE548">4.5-15</a> <br />
<code class="func">IsLieMetabelian</code> <a href="chap4.html#X8504EC257B764BA6">4.5-14</a> <br />
<code class="func">IsLieNilpotent</code> <a href="chap4.html#X78452F4E875A62A8">4.5-13</a> <br />
<code class="func">IsLieSolvable</code> <a href="chap4.html#X859FF1B3812B8FCC">4.5-12</a> <br />
<code class="func">IsNormalizedUnitGroupOfGroupRing</code> <a href="chap4.html#X82AC131384191CCE">4.4-10</a> <br />
<code class="func">IsPModularGroupAlgebra</code> <a href="chap4.html#X849599E07C38A739">4.1-3</a> <br />
<code class="func">IsSymmetric</code> <a href="chap4.html#X82D0BA3D7D3994F6">4.2-8</a> <br />
<code class="func">IsUnit</code> <a href="chap4.html#X85CBFBAE78DE72E8">4.2-10</a> <br />
<code class="func">IsUnitary</code> <a href="chap4.html#X7990BD877E89A9EC">4.2-9</a> <br />
<code class="func">IsUnitGroupOfGroupRing</code> <a href="chap4.html#X7EF9BF297A9412AB">4.4-9</a> <br />
Jennings series <a href="chap3.html#X7B74767A849D921E">3.3</a> <br />
<code class="func">LAGInfo</code> <a href="chap4.html#X7E5804B881DE4FF2">4.6-6</a> <br />
<strong class="pkg">LAGUNA</strong> package <a href="chap0.html#X7AA6C5737B711C89">.-1</a> <br />
<code class="func">LeftIdealBySubgroup</code> <a href="chap4.html#X837294D57E415E37">4.3-8</a> <br />
<code class="func">Length</code> <a href="chap4.html#X780769238600AFD1">4.2-4</a> <br />
Lie derived length <a href="chap4.html#X7E5950517F0CDB47">4.5-21</a> <br />
Lie derived series <a href="chap4.html#X7E5950517F0CDB47">4.5-21</a> <br />
<code class="func">LieAlgebraByDomain</code> <a href="chap4.html#X7827B4158459DEA0">4.5-1</a> <br />
<code class="func">LieCentre</code> <a href="chap4.html#X8111F58E7DE3E25C">4.5-9</a> <br />
<code class="func">LieDerivedLength</code> <a href="chap4.html#X7E5950517F0CDB47">4.5-21</a> <br />
<code class="func">LieDerivedSubalgebra</code> <a href="chap4.html#X7C95C0057C977747">4.5-10</a> <br />
<code class="func">LieDimensionSubgroups</code> <a href="chap4.html#X84B7C6A38473722F">4.6-4</a> <br />
<code class="func">LieLowerNilpotencyIndex</code> <a href="chap4.html#X7D71DF0579FBE1C9">4.5-20</a> <br />
<code class="func">LieUpperCodimensionSeries</code>, for group <a href="chap4.html#X7B2EAF81791D6C68">4.6-5</a> <br />
for group ring <a href="chap4.html#X7B2EAF81791D6C68">4.6-5</a> <br />
<code class="func">LieUpperNilpotencyIndex</code> <a href="chap4.html#X87E9411284D1A346">4.5-19</a> <br />
lower Lie power series <a href="chap4.html#X7D71DF0579FBE1C9">4.5-20</a> <br />
modular group algebra <a href="chap4.html#X82DBCA8F7DB21AC5">4.1-2</a> <br />
<code class="func">NaturalBijectionToAssociativeAlgebra</code> <a href="chap4.html#X821DAFD585EA1DF3">4.5-5</a> <br />
<code class="func">NaturalBijectionToLieAlgebra</code> <a href="chap4.html#X84050A268514F2EE">4.5-4</a> <br />
<code class="func">NaturalBijectionToNormalizedUnitGroup</code> <a href="chap4.html#X83715EF37B9FA94A">4.4-4</a> <br />
<code class="func">NaturalBijectionToPcNormalizedUnitGroup</code> <a href="chap4.html#X7E08F6E87C586A36">4.4-3</a> <br />
normalised unit <a href="chap3.html#X85C2DE1486FB45FD">3.1</a> <br />
normalised unit group <a href="chap3.html#X85C2DE1486FB45FD">3.1</a> <br />
<code class="func">NormalizedUnitGroup</code> <a href="chap4.html#X817D5AC78754527F">4.4-1</a> <br />
<span class="SimpleMath">p</span>-modular group algebra <a href="chap3.html#X7E26AE6C807D7C07">3.2</a> <br />
partial augmentation <a href="chap4.html#X83A318C887B3E735">4.2-6</a> <br />
<code class="func">PartialAugmentations</code> <a href="chap4.html#X83A318C887B3E735">4.2-6</a> <br />
<code class="func">PcNormalizedUnitGroup</code> <a href="chap4.html#X7D40E42A7B678598">4.4-2</a> <br />
<code class="func">PcUnits</code> <a href="chap4.html#X7E67BDA77E5E6077">4.4-7</a> <br />
power-commutator presentation <a href="chap3.html#X7E26AE6C807D7C07">3.2</a> <br />
<code class="func">RadicalOfAlgebra</code> <a href="chap4.html#X850C29907A509533">4.3-3</a> <br />
<code class="func">RightIdealBySubgroup</code> <a href="chap4.html#X837294D57E415E37">4.3-8</a> <br />
<strong class="pkg">SISYPHOS</strong> package <a href="chap1.html#X8557083378F2A3B2">1.1</a> <br />
standard product <a href="chap3.html#X7B74767A849D921E">3.3</a> <br />
<code class="func">StructureConstantsTable</code> <a href="chap4.html#X804ADF0280F67CDC">4.5-18</a> <br />
<code class="func">SubgroupsOfIndexTwo</code> <a href="chap4.html#X85CE6B407910F768">4.6-1</a> <br />
<code class="func">Support</code> <a href="chap4.html#X7B689C0284AC4296">4.2-1</a> <br />
symmetric element <a href="chap4.html#X82D0BA3D7D3994F6">4.2-8</a> <br />
<code class="func">TraceOfMagmaRingElement</code> <a href="chap4.html#X81DD298A7C06EC82">4.2-3</a> <br />
<code class="func">TwoSidedIdalBySubgroup</code> <a href="chap4.html#X837294D57E415E37">4.3-8</a> <br />
<code class="func">UnderlyingAssociativeAlgebra</code> <a href="chap4.html#X85F4712B84624DB8">4.5-3</a> <br />
<code class="func">UnderlyingField</code> <a href="chap4.html#X790470C48340E8F7">4.1-6</a> <br />
<code class="func">UnderlyingGroup</code>, of a group ring <a href="chap4.html#X7C966B177BB62C72">4.1-4</a> <br />
of Lie algebra of a group ring <a href="chap4.html#X87CCD17A790BE256">4.5-7</a> <br />
<code class="func">UnderlyingGroupRing</code> <a href="chap4.html#X82DCA8A57D0D1114">4.4-11</a> <br />
<code class="func">UnderlyingRing</code> <a href="chap4.html#X8534C18E7EA81CB8">4.1-5</a> <br />
unit <a href="chap3.html#X85C2DE1486FB45FD">3.1</a> <br />
unit group <a href="chap3.html#X85C2DE1486FB45FD">3.1</a> <br />
unitary element <a href="chap4.html#X7990BD877E89A9EC">4.2-9</a> <br />
<code class="func">UnitarySubgroup</code> <a href="chap4.html#X7A0FFABC86F89517">4.4-12</a> <br />
<code class="func">Units</code> <a href="chap4.html#X853C045B7BA6A580">4.4-6</a> <br />
upper Lie power series <a href="chap4.html#X87E9411284D1A346">4.5-19</a> <br />
weight, of dimension basis element <a href="chap3.html#X7B74767A849D921E">3.3</a> <br />
<code class="func">WeightedBasis</code> <a href="chap4.html#X8292BEFC7922E773">4.3-4</a> <br />
<p> </p>
</div>
<div class="chlinkprevnextbot"> <a href="chap0.html">[Top of Book]</a> <a href="chap0.html#contents">[Contents]</a> <a href="chapBib.html">[Previous Chapter]</a> </div>
<div class="chlinkbot"><span class="chlink1">Goto Chapter: </span><a href="chap0.html">Top</a> <a href="chap1.html">1</a> <a href="chap2.html">2</a> <a href="chap3.html">3</a> <a href="chap4.html">4</a> <a href="chapBib.html">Bib</a> <a href="chapInd.html">Ind</a> </div>
<hr />
<p class="foot">generated by <a href="https://www.math.rwth-aachen.de/~Frank.Luebeck/GAPDoc">GAPDoc2HTML</a></p>
</body>
</html>
¤ Dauer der Verarbeitung: 0.2 Sekunden
(vorverarbeitet am 2026-11-04)
¤
*© Formatika GbR, Deutschland