<?xml version="1.0" encoding="ISO-8859-1"?> <!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=iso-8859-1" /> <meta name="generator" content="GAPDoc2HTML" /> <link rel="stylesheet" type="text/css" href="manual.css" /> </head> <body> <div class="pcenter"><table class="chlink"><tr><td class="chlink1">Goto Chapter: </td><td><a href="chap0.html">Top</a></td><td><a href="chap1.html">1</a></td><td><a href="chap2.html">2</a></td><td><a href="chap3.html">3</a></td><td><a href="chap4.html">4</a></td><td><a href="chapBib.html">Bib</a></td><td><a href="chapInd.html">Ind</a></td></tr></table><br /></div> <p><a id="s0ss0" name="s0ss0"></a></p> <div class="index"> <h3>Index</h3> <code class="func">Augmentation</code> <a href="chap4.html#s2ss5">4.2-5</a><br /> augmentation homomorphism <a href="chap3.html#s1ss0">3.1</a><br /> augmentation ideal <a href="chap3.html#s1ss0">3.1</a><br /> <code class="func">AugmentationHomomorphism</code> <a href="chap4.html#s3ss1">4.3-1</a><br /> <code class="func">AugmentationIdeal</code> <a href="chap4.html#s3ss2">4.3-2</a><br /> <code class="func">AugmentationIdealNilpotencyIndex</code> <a href="chap4.html#s3ss6">4.3-6</a><br /> <code class="func">AugmentationIdealOfDerivedSubgroupNilpotencyIndex</code> <a href="chap4.html#s3ss7">4.3-7</a><br /> <code class="func">AugmentationIdealPowerFactorGroup</code> <a href="chap4.html#s4ss14">4.4-14</a><br /> <code class="func">AugmentationIdealPowerSeries</code> <a href="chap4.html#s3ss5">4.3-5</a><br /> bicyclic unit <a href="chap4.html#s2ss12">4.2-12</a><br /> <code class="func">BicyclicUnitGroup</code> <a href="chap4.html#s4ss13">4.4-13</a><br /> <code class="func">BicyclicUnitOfType1</code> <a href="chap4.html#s2ss12">4.2-12</a><br /> <code class="func">BicyclicUnitOfType1</code> <a href="chap4.html#s2ss12">4.2-12</a><br /> <code class="func">BicyclicUnitOfType2</code> <a href="chap4.html#s2ss12">4.2-12</a><br /> <code class="func">BicyclicUnitOfType2</code> <a href="chap4.html#s2ss12">4.2-12</a><br /> <code class="func">CanonicalBasis</code> <a href="chap4.html#s5ss16">4.5-16</a><br /> <code class="func">CoefficientsBySupport</code> <a href="chap4.html#s2ss2">4.2-2</a><br /> <code class="func">DihedralDepth</code> <a href="chap4.html#s6ss2">4.6-2</a><br /> dimension basis <a href="chap3.html#s3ss0">3.3</a><br /> <code class="func">DimensionBasis</code> <a href="chap4.html#s6ss3">4.6-3</a><br /> <code class="func">Embedding</code> <a href="chap4.html#s4ss5">4.4-5</a><br /> <code class="func">Embedding</code> <a href="chap4.html#s5ss8">4.5-8</a><br /> group algebra <a href="chap3.html#s1ss0">3.1</a><br /> <code class="func">GroupBases</code> <a href="chap4.html#s4ss15">4.4-15</a><br /> <code class="func">InverseOp</code> <a href="chap4.html#s2ss11">4.2-11</a><br /> <code class="func">Involution</code> <a href="chap4.html#s2ss7">4.2-7</a><br /> <code class="func">Involution</code> <a href="chap4.html#s2ss7">4.2-7</a><br /> <code class="func">IsBasisOfLieAlgebraOfGroupRing</code> <a href="chap4.html#s5ss17">4.5-17</a><br /> <code class="func">IsFModularGroupAlgebra</code> <a href="chap4.html#s1ss2">4.1-2</a><br /> <code class="func">IsGroupAlgebra</code> <a href="chap4.html#s1ss1">4.1-1</a><br /> <code class="func">IsGroupOfUnitsOfMagmaRing</code> <a href="chap4.html#s4ss8">4.4-8</a><br /> <code class="func">IsLieAbelian</code> <a href="chap4.html#s5ss11">4.5-11</a><br /> <code class="func">IsLieAlgebraByAssociativeAlgebra</code> <a href="chap4.html#s5ss2">4.5-2</a><br /> <code class="func">IsLieAlgebraOfGroupRing</code> <a href="chap4.html#s5ss6">4.5-6</a><br /> <code class="func">IsLieCentreByMetabelian</code> <a href="chap4.html#s5ss15">4.5-15</a><br /> <code class="func">IsLieMetabelian</code> <a href="chap4.html#s5ss14">4.5-14</a><br /> <code class="func">IsLieNilpotent</code> <a href="chap4.html#s5ss13">4.5-13</a><br /> <code class="func">IsLieSolvable</code> <a href="chap4.html#s5ss12">4.5-12</a><br /> <code class="func">IsNormalizedUnitGroupOfGroupRing</code> <a href="chap4.html#s4ss10">4.4-10</a><br /> <code class="func">IsPModularGroupAlgebra</code> <a href="chap4.html#s1ss3">4.1-3</a><br /> <code class="func">IsSymmetric</code> <a href="chap4.html#s2ss8">4.2-8</a><br /> <code class="func">IsUnit</code> <a href="chap4.html#s2ss10">4.2-10</a><br /> <code class="func">IsUnit</code> <a href="chap4.html#s2ss10">4.2-10</a><br /> <code class="func">IsUnitary</code> <a href="chap4.html#s2ss9">4.2-9</a><br /> <code class="func">IsUnitGroupOfGroupRing</code> <a href="chap4.html#s4ss9">4.4-9</a><br /> Jennings series <a href="chap3.html#s3ss0">3.3</a><br /> <code class="func">LAGInfo</code> <a href="chap4.html#s6ss6">4.6-6</a><br /> <strong class="pkg">LAGUNA</strong> package <a href="chap0.html#s0ss1">-1</a><br /> <code class="func">LAGUNABuildManual</code> <a href="chap4.html#s6ss7">4.6-7</a><br /> <code class="func">LAGUNABuildManualHTML</code> <a href="chap4.html#s6ss8">4.6-8</a><br /> <code class="func">LeftIdealBySubgroup</code> <a href="chap4.html#s3ss8">4.3-8</a><br /> <code class="func">LeftIdealBySubgroup</code> <a href="chap4.html#s3ss8">4.3-8</a><br /> <code class="func">Length</code> <a href="chap4.html#s2ss4">4.2-4</a><br /> Lie derived length <a href="chap4.html#s5ss21">4.5-21</a><br /> Lie derived series <a href="chap4.html#s5ss21">4.5-21</a><br /> <code class="func">LieAlgebraByDomain</code> <a href="chap4.html#s5ss1">4.5-1</a><br /> <code class="func">LieCentre</code> <a href="chap4.html#s5ss9">4.5-9</a><br /> <code class="func">LieDerivedLength</code> <a href="chap4.html#s5ss21">4.5-21</a><br /> <code class="func">LieDerivedSubalgebra</code> <a href="chap4.html#s5ss10">4.5-10</a><br /> <code class="func">LieDimensionSubgroups</code> <a href="chap4.html#s6ss4">4.6-4</a><br /> <code class="func">LieLowerNilpotencyIndex</code> <a href="chap4.html#s5ss20">4.5-20</a><br /> <code class="func">LieUpperCodimensionSeries</code> <a href="chap4.html#s6ss5">4.6-5</a><br /> <code class="func">LieUpperCodimensionSeries</code> <a href="chap4.html#s6ss5">4.6-5</a><br /> <code class="func">LieUpperNilpotencyIndex</code> <a href="chap4.html#s5ss19">4.5-19</a><br /> lower Lie power series <a href="chap4.html#s5ss20">4.5-20</a><br /> modular group algebra <a href="chap4.html#s1ss2">4.1-2</a><br /> <code class="func">NaturalBijectionToAssociativeAlgebra</code> <a href="chap4.html#s5ss5">4.5-5</a><br /> <code class="func">NaturalBijectionToLieAlgebra</code> <a href="chap4.html#s5ss4">4.5-4</a><br /> <code class="func">NaturalBijectionToNormalizedUnitGroup</code> <a href="chap4.html#s4ss4">4.4-4</a><br /> <code class="func">NaturalBijectionToPcNormalizedUnitGroup</code> <a href="chap4.html#s4ss3">4.4-3</a><br /> normalised unit <a href="chap3.html#s1ss0">3.1</a><br /> normalised unit group <a href="chap3.html#s1ss0">3.1</a><br /> <code class="func">NormalizedUnitGroup</code> <a href="chap4.html#s4ss1">4.4-1</a><br /> p-modular group algebra <a href="chap3.html#s2ss0">3.2</a><br /> partial augmentation <a href="chap4.html#s2ss6">4.2-6</a><br /> <code class="func">PartialAugmentations</code> <a href="chap4.html#s2ss6">4.2-6</a><br /> <code class="func">PcNormalizedUnitGroup</code> <a href="chap4.html#s4ss2">4.4-2</a><br /> <code class="func">PcUnits</code> <a href="chap4.html#s4ss7">4.4-7</a><br /> power-commutator presentation <a href="chap3.html#s2ss0">3.2</a><br /> <code class="func">RadicalOfAlgebra</code> <a href="chap4.html#s3ss3">4.3-3</a><br /> <code class="func">RightIdealBySubgroup</code> <a href="chap4.html#s3ss8">4.3-8</a><br /> <strong class="pkg">SISYPHOS</strong> package <a href="chap1.html#s1ss0">1.1</a><br /> standard product <a href="chap3.html#s3ss0">3.3</a><br /> <code class="func">StructureConstantsTable</code> <a href="chap4.html#s5ss18">4.5-18</a><br /> <code class="func">SubgroupsOfIndexTwo</code> <a href="chap4.html#s6ss1">4.6-1</a><br /> <code class="func">Support</code> <a href="chap4.html#s2ss1">4.2-1</a><br /> symmetric element <a href="chap4.html#s2ss8">4.2-8</a><br /> <code class="func">TraceOfMagmaRingElement</code> <a href="chap4.html#s2ss3">4.2-3</a><br /> <code class="func">TwoSidedIdalBySubgroup</code> <a href="chap4.html#s3ss8">4.3-8</a><br /> <code class="func">UnderlyingAssociativeAlgebra</code> <a href="chap4.html#s5ss3">4.5-3</a><br /> <code class="func">UnderlyingField</code> <a href="chap4.html#s1ss6">4.1-6</a><br /> <code class="func">UnderlyingGroup</code>, of Lie algebra of a group ring <a href="chap4.html#s5ss7">4.5-7</a><br /> <code class="func">UnderlyingGroup</code>, of a group ring <a href="chap4.html#s1ss4">4.1-4</a><br /> <code class="func">UnderlyingGroupRing</code> <a href="chap4.html#s4ss11">4.4-11</a><br /> <code class="func">UnderlyingRing</code> <a href="chap4.html#s1ss5">4.1-5</a><br /> unit <a href="chap3.html#s1ss0">3.1</a><br /> unit group <a href="chap3.html#s1ss0">3.1</a><br /> unitary element <a href="chap4.html#s2ss9">4.2-9</a><br /> <code class="func">UnitarySubgroup</code> <a href="chap4.html#s4ss12">4.4-12</a><br /> <code class="func">Units</code> <a href="chap4.html#s4ss6">4.4-6</a><br /> upper Lie power series <a href="chap4.html#s5ss19">4.5-19</a><br /> weight, of dimension basis element <a href="chap3.html#s3ss0">3.3</a><br /> <code class="func">WeightedBasis</code> <a href="chap4.html#s3ss4">4.3-4</a><br /> <p> </p> </div> <div class="pcenter"> <table class="chlink"><tr><td><a href="chap0.html">Top of Book</a></td><td><a href="chapBib.html">Previous Chapter</a></td></tr></table> <br /> <div class="pcenter"><table class="chlink"><tr><td class="chlink1">Goto Chapter: </td><td><a href="chap0.html">Top</a></td><td><a href="chap1.html">1</a></td><td><a 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