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<html><head><title>The GAP 4 Manual - Full Index I</title></head><body bgcolor=ffffff><h1>The GAP 4 Manual - Full Index I</h1><p><a href=theindex.htm>_</A> <a href=indxA.htm>A</A> <a href=indxB.htm>B</A> <a href=indxC.htm>C</A> <a href=indxD.htm>D</A> <a href=indxE.htm>E</A> <a href=indxF.htm>F</A> <a href=indxG.htm>G</A> <a href=indxH.htm>H</A> <a href=indxI.htm>I</A> <a href=indxJ.htm>J</A> <a href=indxK.htm>K</A> <a href=indxL.htm>L</A> <a href=indxM.htm>M</A> <a href=indxN.htm>N</A> <a href=indxO.htm>O</A> <a href=indxP.htm>P</A> <a href=indxQ.htm>Q</A> <a href=indxR.htm>R</A> <a href=indxS.htm>S</A> <a href=indxT.htm>T</A> <a href=indxU.htm>U</A> <a href=indxV.htm>V</A> <a href=indxW.htm>W</A> <a href=indxX.htm>X</A> <a href=indxY.htm>Y</A> <a href=indxZ.htm>Z</A><ul>
<dt>IRIX <a href="ref/CHAP070.htm#I17">R 70.3</a>
<dt>IdGroup <a href="ref/CHAP045.htm#I46">R 45.6</a>
<dt>IdealByGenerators <a href="ref/CHAP051.htm#I35">R 51.2</a>
<dt>IdempotentsTom <a href="ref/CHAP064.htm#I25">R 64.7</a>
<dt>IdempotentsTomInfo <a href="ref/CHAP064.htm#I26">R 64.7</a>
<dt>IdentificationOfConjugacyClasses <a href="ref/CHAP065.htm#I28">R 65.5</a>
<dt>Identifier <a href="ref/CHAP064.htm#I27">R 64.7</a> <a href="ref/CHAP065.htm#I56">R 65.7</a>
<dt>Identity <a href="ref/CHAP028.htm#I24">R 28.9</a>
<dt>IdentityFromSCTable <a href="ref/CHAP057.htm#I32">R 57.3</a>
<dt>IdentityMapping <a href="ref/CHAP029.htm#I10">R 29.1</a>
<dt>IdentityMat <a href="ref/CHAP023.htm#I46">R 23.3</a>
<dt>IdsOfAllGroups <a href="ref/CHAP045.htm#I43">R 45.6</a>
<dt>Image <a href="ref/CHAP029.htm#I33">R 29.3</a>
<dt>Image, for Frobenius automorphisms <a href="ref/CHAP054.htm#I18">R 54.4</a>
<dt>ImageElm <a href="ref/CHAP029.htm#I32">R 29.3</a>
<dt>ImageListOfTransformation <a href="ref/CHAP049.htm#I9">R 49.0</a>
<dt>ImageSetOfTransformation <a href="ref/CHAP049.htm#I10">R 49.0</a>
<dt>Images <a href="ref/CHAP029.htm#I36">R 29.3</a>
<dt>ImagesElm <a href="ref/CHAP029.htm#I30">R 29.3</a>
<dt>ImagesRepresentative <a href="ref/CHAP029.htm#I29">R 29.3</a>
<dt>ImagesSet <a href="ref/CHAP029.htm#I31">R 29.3</a>
<dt>ImagesSmallestGenerators <a href="ref/CHAP035.htm#I9">R 35.3</a>
<dt>ImagesSource <a href="ref/CHAP029.htm#I28">R 29.3</a>
<dt>Immutable <a href="ref/CHAP011.htm#I5">R 11.5</a>
<dt>ImmutableBasis <a href="ref/CHAP056.htm#I51">R 56.5</a>
<dt>InParentFOA <a href="ext/CHAP005.htm#I3">E 5.2</a>
<dt>IndependentGeneratorsOfAbelianGroup <a href="ref/CHAP034.htm#I163">R 34.21</a>
<dt>Indeterminate <a href="ref/CHAP060.htm#I1">R 60.1</a>
<dt>IndeterminateName <a href="ref/CHAP060.htm#I6">R 60.1</a>
<dt>IndeterminateNumberOfLaurentPolynomial <a href="ref/CHAP060.htm#I59">R 60.12</a>
<dt>IndeterminateNumberOfUnivariateRationalFunction <a href="ref/CHAP060.htm#I4">R 60.1</a>
<dt>IndeterminateOfUnivariateRationalFunction <a href="ref/CHAP060.htm#I5">R 60.1</a>
<dt>Indeterminateness <a href="ref/CHAP067.htm#I37">R 67.3</a>
<dt>IndeterminatesOfPolynomialRing <a href="ref/CHAP060.htm#I64">R 60.13</a>
<dt>Index <a href="ref/CHAP034.htm#I14">R 34.3</a>
<dt>IndexInWholeGroup <a href="ref/CHAP034.htm#I15">R 34.3</a>
<dt>Indicator <a href="ref/CHAP065.htm#I86">R 65.9</a>
<dt>IndicatorOp <a href="ref/CHAP065.htm#I89">R 65.9</a>
<dt>IndicesInvolutaryGenerators <a href="ref/CHAP042.htm#I28">R 42.5</a>
<dt>IndicesNormalSteps <a href="ref/CHAP040.htm#I63">R 40.11</a>
<dt>IndicesOfAdjointBasis <a href="ref/CHAP057.htm#I67">R 57.8</a>
<dt>IndicesStabChain <a href="ref/CHAP038.htm#I28">R 38.8</a>
<dt>Indirected <a href="ref/CHAP067.htm#I28">R 67.3</a>
<dt>InducedAutomorphism <a href="ref/CHAP035.htm#I24">R 35.6</a>
<dt>InducedClassFunction <a href="ref/CHAP066.htm#I54">R 66.9</a>
<dt>InducedClassFunctions <a href="ref/CHAP066.htm#I57">R 66.9</a>
<dt>InducedCyclic <a href="ref/CHAP066.htm#I60">R 66.9</a>
<dt>InducedPcgs <a href="ref/CHAP040.htm#I35">R 40.7</a>
<dt>InducedPcgsByGenerators <a href="ref/CHAP040.htm#I36">R 40.7</a>
<dt>InducedPcgsByGeneratorsNC <a href="ref/CHAP040.htm#I37">R 40.7</a>
<dt>InducedPcgsByPcSequence <a href="ref/CHAP040.htm#I32">R 40.7</a>
<dt>InducedPcgsByPcSequenceAndGenerators <a href="ref/CHAP040.htm#I38">R 40.7</a>
<dt>InducedPcgsByPcSequenceNC <a href="ref/CHAP040.htm#I33">R 40.7</a>
<dt>InducedPcgsWrtFamilyPcgs <a href="ref/CHAP041.htm#I3">R 41.1</a>
<dt>InducedPcgsWrtSpecialPcgs <a href="ref/CHAP040.htm#I73">R 40.13</a>
<dt>Inequalities <a href="ref/CHAP066.htm#I119">R 66.14</a>
<dt>InertiaSubgroup <a href="ref/CHAP066.htm#I37">R 66.8</a>
<dt>Info <a href="ref/CHAP006.htm#I21">R 6.4</a>
<dt>InfoAlgebra <a href="ref/CHAP057.htm#I1">R 57.0</a>
<dt>InfoAttributes <a href="ref/CHAP012.htm#I10">R 12.5</a>
<dt>InfoBckt <a href="ref/CHAP038.htm#I49">R 38.10</a>
<dt>InfoCharacterTable <a href="ref/CHAP065.htm#I24">R 65.3</a>
<dt>InfoCoh <a href="ref/CHAP034.htm#I174">R 34.22</a>
<dt>InfoComplement <a href="ref/CHAP034.htm#I68">R 34.10</a>
<dt>InfoCoset <a href="ref/CHAP034.htm#I48">R 34.8</a>
<dt>InfoFpGroup <a href="ref/CHAP042.htm#I3">R 42.0</a>
<dt>InfoGroup <a href="ref/CHAP034.htm#I11">R 34.2</a>
<dt>InfoLattice <a href="ref/CHAP034.htm#I152">R 34.19</a>
<dt>InfoLevel <a href="ref/CHAP006.htm#I20">R 6.4</a>
<dt>InfoMatrix <a href="ref/CHAP023.htm#I4">R 23.0</a>
<dt>InfoNumtheor <a href="ref/CHAP014.htm#I2">R 14.0</a>
<dt>InfoOptions <a href="ref/CHAP007.htm#I5">R 7.0</a>
<dt>InfoPcSubgroup <a href="ref/CHAP034.htm#I158">R 34.20</a>
<dt>InfoText <a href="ref/CHAP065.htm#I57">R 65.7</a>
<dt>InfoTom <a href="ref/CHAP064.htm#I11">R 64.6</a>
<dt>InitFusion <a href="ref/CHAP067.htm#I53">R 67.5</a>
<dt>InitPowerMap <a href="ref/CHAP067.htm#I47">R 67.4</a>
<dt>InjectionZeroMagma <a href="ref/CHAP031.htm#I25">R 31.2</a>
<dt>InnerAutomorphism <a href="ref/CHAP035.htm#I14">R 35.5</a>
<dt>InnerAutomorphismsAutomorphismGroup <a href="ref/CHAP035.htm#I23">R 35.6</a>
<dt>InputLogTo <a href="ref/CHAP008.htm#I18">R 8.7</a> <a href="ref/CHAP009.htm#I27">R 9.4</a>
<dt>InputTextFile <a href="ref/CHAP009.htm#I31">R 9.5</a>
<dt>InputTextNone <a href="ref/CHAP009.htm#I37">R 9.8</a>
<dt>InputTextString <a href="ref/CHAP009.htm#I35">R 9.7</a>
<dt>InputTextUser <a href="ref/CHAP009.htm#I33">R 9.6</a>
<dt>InsertTrivialStabilizer <a href="ref/CHAP038.htm#I43">R 38.9</a>
<dt>InstallAtExit <a href="ref/CHAP005.htm#I30">R 5.6</a>
<dt>InstallFactorMaintenance <a href="ref/CHAP028.htm#I56">R 28.12</a>
<dt>InstallFlushableValue <a href="prg/CHAP003.htm#I30">P 3.13</a>
<dt>InstallGlobalFunction <a href="prg/CHAP003.htm#I27">P 3.13</a>
<dt>InstallImmediateMethod <a href="prg/CHAP002.htm#I3">P 2.6</a>
<dt>InstallIsomorphismMaintenance <a href="ref/CHAP028.htm#I55">R 28.12</a>
<dt>InstallMethod <a href="prg/CHAP002.htm#I1">P 2.2</a>
<dt>InstallSubsetMaintenance <a href="ref/CHAP028.htm#I54">R 28.12</a>
<dt>InstallTrueMethod <a href="prg/CHAP002.htm#I4">P 2.7</a>
<dt>InstallValue <a href="prg/CHAP003.htm#I29">P 3.13</a>
<dt>Installing GAP <a href="ref/CHAP070.htm#I0">R 70.0</a>
<dt>Int <a href="ref/CHAP013.htm#I9">R 13.1</a>
<dt>IntFFE <a href="ref/CHAP054.htm#I8">R 54.2</a>
<dt>IntScalarProducts <a href="ref/CHAP067.htm#I40">R 67.3</a>
<dt>IntVecFFE <a href="ref/CHAP054.htm#I9">R 54.2</a>
<dt>Integers <a href="ref/CHAP013.htm#I0">R 13.0</a>
<dt>Integral matrices and lattices <a href="ref/CHAP024.htm#I0">R 24.0</a>
<dt>IntegralizedMat <a href="ref/CHAP024.htm#I1">R 24.0</a>
<dt>IntermediateGroup <a href="ref/CHAP034.htm#I127">R 34.16</a>
<dt>IntermediateSubgroups <a href="ref/CHAP034.htm#I128">R 34.16</a>
<dt>InterpolatedPolynomial <a href="ref/CHAP051.htm#I108">R 51.7</a>
<dt>IntersectBlist <a href="ref/CHAP021.htm#I12">R 21.3</a>
<dt>IntersectSet <a href="ref/CHAP020.htm#I72">R 20.15</a>
<dt>Intersection <a href="ref/CHAP027.htm#I44">R 27.4</a>
<dt>Intersection2 <a href="ref/CHAP027.htm#I46">R 27.4</a>
<dt>IntersectionBlist <a href="ref/CHAP021.htm#I8">R 21.2</a>
<dt>IntersectionsTom <a href="ref/CHAP064.htm#I46">R 64.9</a>
<dt>InvariantBilinearForm <a href="ref/CHAP039.htm#I13">R 39.2</a>
<dt>InvariantElementaryAbelianSeries <a href="ref/CHAP034.htm#I120">R 34.16</a>
<dt>InvariantLattice <a href="ref/CHAP039.htm#I21">R 39.3</a>
<dt>InvariantSesquilinearForm <a href="ref/CHAP039.htm#I15">R 39.2</a>
<dt>InvariantSubgroupsElementaryAbelianGroup <a href="ref/CHAP034.htm#I154">R 34.20</a>
<dt>Inverse <a href="ref/CHAP028.htm#I31">R 28.9</a>
<dt>Inverse, group homomorphism <a href="ref/CHAP035.htm#I8">R 35.2</a>
<dt>InverseClasses <a href="ref/CHAP065.htm#I58">R 65.7</a>
<dt>InverseGeneralMapping <a href="ref/CHAP029.htm#I8">R 29.1</a>
<dt>InverseMap <a href="ref/CHAP067.htm#I26">R 67.3</a>
<dt>InverseMatMod <a href="ref/CHAP023.htm#I92">R 23.11</a>
<dt>InverseOp <a href="ref/CHAP028.htm#I32">R 28.9</a>
<dt>InverseRepresentative <a href="ref/CHAP038.htm#I31">R 38.8</a>
<dt>Irr <a href="ref/CHAP065.htm#I40">R 65.7</a>
<dt>IrrBaumClausen <a href="ref/CHAP065.htm#I109">R 65.11</a>
<dt>IrrConlon <a href="ref/CHAP065.htm#I108">R 65.11</a>
<dt>IrrDixonSchneider <a href="ref/CHAP065.htm#I107">R 65.11</a>
<dt>IrreducibleDifferences <a href="ref/CHAP066.htm#I67">R 66.10</a>
<dt>IrreducibleRepresentations <a href="ref/CHAP065.htm#I110">R 65.11</a>
<dt>IrreducibleSolvableGroup <a href="ref/CHAP045.htm#I35">R 45.4</a>
<dt>IsAbelian <a href="ref/CHAP031.htm#I44">R 31.4</a>
<dt>IsAbelianNumberField <a href="ref/CHAP055.htm#I11">R 55.2</a>
<dt>IsAdditiveElement <a href="ref/CHAP028.htm#I59">R 28.13</a>
<dt>IsAdditiveElementWithInverse <a href="ref/CHAP028.htm#I63">R 28.13</a>
<dt>IsAdditiveElementWithZero <a href="ref/CHAP028.htm#I61">R 28.13</a>
<dt>IsAdditiveGroup <a href="ref/CHAP050.htm#I7">R 50.1</a>
<dt>IsAdditiveGroupGeneralMapping <a href="ref/CHAP029.htm#I63">R 29.9</a>
<dt>IsAdditiveGroupHomomorphism <a href="ref/CHAP029.htm#I64">R 29.9</a>
<dt>IsAdditiveMagma <a href="ref/CHAP050.htm#I5">R 50.1</a>
<dt>IsAdditiveMagmaWithInverses <a href="ref/CHAP050.htm#I8">R 50.1</a>
<dt>IsAdditiveMagmaWithZero <a href="ref/CHAP050.htm#I6">R 50.1</a>
<dt>IsAdditivelyCommutative <a href="ref/CHAP050.htm#I27">R 50.3</a>
<dt>IsAdditivelyCommutativeElement <a href="ref/CHAP028.htm#I81">R 28.14</a>
<dt>IsAdditivelyCommutativeElementCollColl <a href="ref/CHAP028.htm#I83">R 28.14</a>
<dt>IsAdditivelyCommutativeElementCollection <a href="ref/CHAP028.htm#I82">R 28.14</a>
<dt>IsAdditivelyCommutativeElementFamily <a href="ref/CHAP028.htm#I84">R 28.14</a>
<dt>IsAlgebra <a href="ref/CHAP057.htm#I54">R 57.7</a>
<dt>IsAlgebraGeneralMapping <a href="ref/CHAP029.htm#I77">R 29.11</a>
<dt>IsAlgebraHomomorphism <a href="ref/CHAP029.htm#I78">R 29.11</a>
<dt>IsAlgebraWithOne <a href="ref/CHAP057.htm#I55">R 57.7</a>
<dt>IsAlgebraWithOneGeneralMapping <a href="ref/CHAP029.htm#I79">R 29.11</a>
<dt>IsAlgebraWithOneHomomorphism <a href="ref/CHAP029.htm#I80">R 29.11</a>
<dt>IsAlgebraicElement <a href="ref/CHAP061.htm#I4">R 61.2</a>
<dt>IsAlgebraicExtension <a href="ref/CHAP061.htm#I2">R 61.1</a>
<dt>IsAlphaChar <a href="ref/CHAP025.htm#I11">R 25.2</a>
<dt>IsAlternatingGroup <a href="ref/CHAP038.htm#I9">R 38.3</a>
<dt>IsAnticommutative <a href="ref/CHAP051.htm#I59">R 51.4</a>
<dt>IsAssocWord <a href="ref/CHAP032.htm#I1">R 32.0</a>
<dt>IsAssocWordWithInverse <a href="ref/CHAP032.htm#I3">R 32.0</a>
<dt>IsAssocWordWithOne <a href="ref/CHAP032.htm#I2">R 32.0</a>
<dt>IsAssociated <a href="ref/CHAP051.htm#I65">R 51.5</a>
<dt>IsAssociative <a href="ref/CHAP031.htm#I41">R 31.4</a>
<dt>IsAssociativeElement <a href="ref/CHAP028.htm#I78">R 28.14</a>
<dt>IsAssociativeElementCollColl <a href="ref/CHAP028.htm#I80">R 28.14</a>
<dt>IsAssociativeElementCollection <a href="ref/CHAP028.htm#I79">R 28.14</a>
<dt>IsAutomorphismGroup <a href="ref/CHAP035.htm#I22">R 35.6</a>
<dt>IsBOundElmWPObj <a href="ext/CHAP006.htm#I6">E 6.3</a>
<dt>IsBasis <a href="ref/CHAP056.htm#I31">R 56.4</a>
<dt>IsBergerCondition <a href="ref/CHAP068.htm#I3">R 68.1</a>
<dt>IsBijective <a href="ref/CHAP029.htm#I23">R 29.2</a>
<dt>IsBinaryRelation <a href="ref/CHAP030.htm#I1">R 30.1</a>
<dt>IsBlist <a href="ref/CHAP021.htm#I1">R 21.0</a>
<dt>IsBool <a href="ref/CHAP019.htm#I3">R 19.0</a>
<dt>IsBound, for lists M <a href="ref/CHAP020.htm#I21">R 20.5</a>
<dt>IsBoundGlobal <a href="ref/CHAP004.htm#I15">R 4.9</a>
<dt>IsBrauerTable <a href="ref/CHAP065.htm#I22">R 65.3</a>
<dt>IsBravaisGroup <a href="ref/CHAP039.htm#I25">R 39.3</a>
<dt>IsBuiltFromAdditiveMagmaWithInverses <a href="ref/CHAP033.htm#I27">R 33.3</a>
<dt>IsBuiltFromGroup <a href="ref/CHAP033.htm#I31">R 33.3</a>
<dt>IsBuiltFromMagma <a href="ref/CHAP033.htm#I28">R 33.3</a>
<dt>IsBuiltFromMagmaWithInverses <a href="ref/CHAP033.htm#I30">R 33.3</a>
<dt>IsBuiltFromMagmaWithOne <a href="ref/CHAP033.htm#I29">R 33.3</a>
<dt>IsCanonicalBasis <a href="ref/CHAP056.htm#I32">R 56.4</a>
<dt>IsCanonicalBasisFullMatrixModule <a href="ref/CHAP056.htm#I34">R 56.4</a>
<dt>IsCanonicalBasisFullRowModule <a href="ref/CHAP056.htm#I33">R 56.4</a>
<dt>IsCanonicalNiceMonomorphism <a href="ref/CHAP035.htm#I13">R 35.4</a>
<dt>IsCanonicalPcgs <a href="ref/CHAP040.htm#I42">R 40.8</a>
<dt>IsCentral <a href="ref/CHAP031.htm#I42">R 31.4</a>
<dt>IsChar <a href="ref/CHAP025.htm#I4">R 25.0</a>
<dt>IsCharacter <a href="ref/CHAP066.htm#I24">R 66.8</a>
<dt>IsCharacterTable <a href="ref/CHAP065.htm#I20">R 65.3</a>
<dt>IsCharacterTableInProgress <a href="ref/CHAP065.htm#I23">R 65.3</a>
<dt>IsCharacteristicSubgroup <a href="ref/CHAP034.htm#I19">R 34.3</a>
<dt>IsClassFunction <a href="ref/CHAP066.htm#I5">R 66.0</a>
<dt>IsClosedStream <a href="ref/CHAP009.htm#I2">R 9.1</a>
<dt>IsCollection <a href="ref/CHAP027.htm#I1">R 27.0</a>
<dt>IsCollectionFamily <a href="ref/CHAP027.htm#I3">R 27.1</a>
<dt>IsCommutative <a href="ref/CHAP031.htm#I43">R 31.4</a>
<dt>IsCommutativeElement <a href="ref/CHAP028.htm#I85">R 28.14</a>
<dt>IsCommutativeElementCollColl <a href="ref/CHAP028.htm#I87">R 28.14</a>
<dt>IsCommutativeElementCollection <a href="ref/CHAP028.htm#I86">R 28.14</a>
<dt>IsConfluent <a href="ref/CHAP033.htm#I4">R 33.1</a> <a href="ref/CHAP041.htm#I17">R 41.4</a>
<dt>IsConjugacyClassSubgroupsByStabilizerRep <a href="ref/CHAP034.htm#I139">R 34.18</a>
<dt>IsConjugacyClassSubgroupsRep <a href="ref/CHAP034.htm#I138">R 34.18</a>
<dt>IsConjugate <a href="ref/CHAP034.htm#I57">R 34.9</a>
<dt>IsConjugatorAutomorphism <a href="ref/CHAP035.htm#I17">R 35.5</a>
<dt>IsConstantRationalFunction <a href="ref/CHAP060.htm#I25">R 60.4</a>
<dt>IsConstantTimeAccessGeneralMapping <a href="ref/CHAP029.htm#I83">R 29.12</a>
<dt>IsConstantTimeAccessList <a href="ref/CHAP020.htm#I5">R 20.1</a>
<dt>IsContainedInSpan <a href="ref/CHAP056.htm#I53">R 56.5</a>
<dt>IsCopyable <a href="ref/CHAP011.htm#I7">R 11.5</a>
<dt>IsCyc <a href="ref/CHAP017.htm#I8">R 17.1</a>
<dt>IsCyclic <a href="ref/CHAP034.htm#I88">R 34.14</a>
<dt>IsCyclotomic <a href="ref/CHAP017.htm#I7">R 17.1</a>
<dt>IsCyclotomicMatrixGroup <a href="ref/CHAP039.htm#I17">R 39.3</a>
<dt>IsDenseList <a href="ref/CHAP020.htm#I2">R 20.1</a>
<dt>IsDiagonalMat <a href="ref/CHAP023.htm#I43">R 23.2</a>
<dt>IsDigitChar <a href="ref/CHAP025.htm#I8">R 25.2</a>
<dt>IsDirectoryPath <a href="ref/CHAP008.htm#I12">R 8.6</a>
<dt>IsDistributive <a href="ref/CHAP051.htm#I58">R 51.4</a>
<dt>IsDivisionRing <a href="ref/CHAP053.htm#I3">R 53.1</a>
<dt>IsDomain <a href="ref/CHAP028.htm#I18">R 28.8</a>
<dt>IsDoneIterator <a href="ref/CHAP027.htm#I68">R 27.7</a>
<dt>IsDoubleCoset <a href="ref/CHAP034.htm#I46">R 34.8</a>
<dt>IsDuplicateFree <a href="ref/CHAP020.htm#I47">R 20.13</a>
<dt>IsDuplicateFreeList <a href="ref/CHAP020.htm#I48">R 20.13</a>
<dt>IsDxLargeGroup <a href="ref/CHAP065.htm#I120">R 65.13</a>
<dt>IsElementOfFpSemigroup <a href="ref/CHAP048.htm#I3">R 48.0</a>
<dt>IsElementOfFreeMagmaRing <a href="ref/CHAP059.htm#I8">R 59.2</a>
<dt>IsElementOfFreeMagmaRingCollection <a href="ref/CHAP059.htm#I9">R 59.2</a>
<dt>IsElementOfFreeMagmaRingFamily <a href="ref/CHAP059.htm#I10">R 59.2</a>
<dt>IsElementOfMagmaRingModuloRelations <a href="ref/CHAP059.htm#I14">R 59.4</a>
<dt>IsElementOfMagmaRingModuloRelationsCollection <a href="ref/CHAP059.htm#I15">R 59.4</a>
<dt>IsElementOfMagmaRingModuloRelationsFamily <a href="ref/CHAP059.htm#I16">R 59.4</a>
<dt>IsElementOfMagmaRingModuloSpanOfZeroFamily <a href="ref/CHAP059.htm#I19">R 59.5</a>
<dt>IsElementaryAbelian <a href="ref/CHAP034.htm#I89">R 34.14</a>
<dt>IsEmpty <a href="ref/CHAP027.htm#I28">R 27.3</a>
<dt>IsEmptyString <a href="ref/CHAP025.htm#I35">R 25.7</a>
<dt>IsEndOfStream <a href="ref/CHAP009.htm#I17">R 9.3</a>
<dt>IsEndoGeneralMapping <a href="ref/CHAP029.htm#I84">R 29.12</a>
<dt>IsEqualSet <a href="ref/CHAP020.htm#I63">R 20.15</a>
<dt>IsEquivalenceClass <a href="ref/CHAP030.htm#I8">R 30.2</a>
<dt>IsEquivalenceRelation <a href="ref/CHAP030.htm#I5">R 30.2</a>
<dt>IsEuclideanRing <a href="ref/CHAP051.htm#I77">R 51.6</a>
<dt>IsEvenInt <a href="ref/CHAP013.htm#I10">R 13.1</a>
<dt>IsExecuteableFile <a href="ref/CHAP008.htm#I11">R 8.6</a>
<dt>IsExistingFile <a href="ref/CHAP008.htm#I8">R 8.6</a>
<dt>IsExtAElement <a href="ref/CHAP028.htm#I57">R 28.13</a>
<dt>IsExtLElement <a href="ref/CHAP028.htm#I64">R 28.13</a>
<dt>IsExtRElement <a href="ref/CHAP028.htm#I65">R 28.13</a>
<dt>IsExternalOrbit <a href="ref/CHAP036.htm#I80">R 36.10</a>
<dt>IsExternalSet <a href="ref/CHAP036.htm#I73">R 36.10</a>
<dt>IsExternalSubset <a href="ref/CHAP036.htm#I78">R 36.10</a>
<dt>IsFFE <a href="ref/CHAP054.htm#I1">R 54.1</a>
<dt>IsFFECollColl <a href="ref/CHAP054.htm#I3">R 54.1</a>
<dt>IsFFECollection <a href="ref/CHAP054.htm#I2">R 54.1</a>
<dt>IsFLMLOR <a href="ref/CHAP057.htm#I52">R 57.7</a>
<dt>IsFLMLORWithOne <a href="ref/CHAP057.htm#I53">R 57.7</a>
<dt>IsFamilyPcgs <a href="ref/CHAP041.htm#I2">R 41.1</a>
<dt>IsField <a href="ref/CHAP053.htm#I4">R 53.1</a>
<dt>IsFieldHomomorphism <a href="ref/CHAP029.htm#I81">R 29.11</a>
<dt>IsFinite <a href="ref/CHAP027.htm#I30">R 27.3</a>
<dt>IsFiniteDimensional <a href="ref/CHAP052.htm#I25">R 52.3</a> <a href="ref/CHAP057.htm#I58">R 57.7</a>
<dt>IsFiniteFieldPolynomialRing <a href="ref/CHAP060.htm#I67">R 60.13</a>
<dt>IsFiniteOrderElement <a href="ref/CHAP028.htm#I88">R 28.14</a>
<dt>IsFiniteOrderElementCollColl <a href="ref/CHAP028.htm#I90">R 28.14</a>
<dt>IsFiniteOrderElementCollection <a href="ref/CHAP028.htm#I89">R 28.14</a>
<dt>IsFiniteOrdersPcgs <a href="ref/CHAP040.htm#I7">R 40.4</a>
<dt>IsFinitelyGeneratedGroup <a href="ref/CHAP034.htm#I98">R 34.14</a>
<dt>IsFixedStabilizer <a href="ref/CHAP038.htm#I44">R 38.9</a>
<dt>IsFpGroup <a href="ref/CHAP042.htm#I2">R 42.0</a>
<dt>IsFpSemigroup <a href="ref/CHAP048.htm#I2">R 48.0</a>
<dt>IsFreeGroup <a href="ref/CHAP032.htm#I9">R 32.1</a>
<dt>IsFreeLeftModule <a href="ref/CHAP052.htm#I18">R 52.3</a>
<dt>IsFreeMagmaRing <a href="ref/CHAP059.htm#I3">R 59.1</a>
<dt>IsFreeMagmaRingWithOne <a href="ref/CHAP059.htm#I4">R 59.1</a>
<dt>IsFromFpGroupGeneralMappingByImages <a href="ref/CHAP035.htm#I42">R 35.9</a>
<dt>IsFromFpGroupStdGensGeneralMappingByImages <a href="ref/CHAP035.htm#I44">R 35.9</a>
<dt>IsFromFpGroupStdGensHomomorphismByImages <a href="ref/CHAP035.htm#I45">R 35.9</a>
<dt>IsFullHomModule <a href="ref/CHAP056.htm#I62">R 56.6</a>
<dt>IsFullMatrixModule <a href="ref/CHAP052.htm#I31">R 52.3</a>
<dt>IsFullRowModule <a href="ref/CHAP052.htm#I29">R 52.3</a>
<dt>IsFullSubgroupGLorSLRespectingBilinearForm <a href="ref/CHAP039.htm#I14">R 39.2</a>
<dt>IsFullSubgroupGLorSLRespectingSesquilinearForm <a href="ref/CHAP039.htm#I16">R 39.2</a>
<dt>IsGL <a href="ref/CHAP039.htm#I8">R 39.1</a>
<dt>IsGaussInt <a href="ref/CHAP017.htm#I18">R 17.1</a>
<dt>IsGaussRat <a href="ref/CHAP017.htm#I19">R 17.1</a>
<dt>IsGaussianIntegers <a href="ref/CHAP055.htm#I17">R 55.3</a>
<dt>IsGaussianRationals <a href="ref/CHAP055.htm#I7">R 55.0</a>
<dt>IsGaussianSpace <a href="ref/CHAP056.htm#I12">R 56.2</a>
<dt>IsGeneralLinearGroup <a href="ref/CHAP039.htm#I7">R 39.1</a>
<dt>IsGeneralMapping <a href="ref/CHAP029.htm#I82">R 29.12</a>
<dt>IsGeneralMappingFamily <a href="ref/CHAP029.htm#I87">R 29.13</a>
<dt>IsGeneralizedDomain <a href="ref/CHAP028.htm#I17">R 28.8</a>
<dt>IsGeneratorsOfStruct <a href="ref/CHAP028.htm#I2">R 28.3</a>
<dt>IsGreensClass <a href="ref/CHAP046.htm#I53">R 46.5</a>
<dt>IsGreensDClass <a href="ref/CHAP046.htm#I56">R 46.5</a>
<dt>IsGreensDClassEnumerator <a href="ref/CHAP046.htm#I66">R 46.5</a>
<dt>IsGreensDRelation <a href="ref/CHAP046.htm#I50">R 46.5</a>
<dt>IsGreensHClass <a href="ref/CHAP046.htm#I58">R 46.5</a>
<dt>IsGreensHClassEnumerator <a href="ref/CHAP046.htm#I65">R 46.5</a>
<dt>IsGreensHRelation <a href="ref/CHAP046.htm#I52">R 46.5</a>
<dt>IsGreensJClass <a href="ref/CHAP046.htm#I57">R 46.5</a>
<dt>IsGreensJClassEnumerator <a href="ref/CHAP046.htm#I64">R 46.5</a>
<dt>IsGreensJRelation <a href="ref/CHAP046.htm#I51">R 46.5</a>
<dt>IsGreensLClass <a href="ref/CHAP046.htm#I55">R 46.5</a>
<dt>IsGreensLClassEnumerator <a href="ref/CHAP046.htm#I63">R 46.5</a>
<dt>IsGreensLRelation <a href="ref/CHAP046.htm#I49">R 46.5</a>
<dt>IsGreensLessThanOrEqual <a href="ref/CHAP046.htm#I59">R 46.5</a>
<dt>IsGreensRClass <a href="ref/CHAP046.htm#I54">R 46.5</a>
<dt>IsGreensRClassEnumerator <a href="ref/CHAP046.htm#I62">R 46.5</a>
<dt>IsGreensRRelation <a href="ref/CHAP046.htm#I48">R 46.5</a>
<dt>IsGreensRelation <a href="ref/CHAP046.htm#I47">R 46.5</a>
<dt>IsGroup <a href="ref/CHAP034.htm#I10">R 34.2</a>
<dt>IsGroupGeneralMapping <a href="ref/CHAP029.htm#I56">R 29.8</a>
<dt>IsGroupGeneralMappingByAsGroupGeneralMappingByImages <a href="ref/CHAP035.htm#I31">R 35.9</a>
<dt>IsGroupGeneralMappingByImages <a href="ref/CHAP035.htm#I30">R 35.9</a>
<dt>IsGroupGeneralMappingByPcgs <a href="ref/CHAP035.htm#I37">R 35.9</a>
<dt>IsGroupHClass <a href="ref/CHAP046.htm#I80">R 46.5</a>
<dt>IsGroupHomomorphism <a href="ref/CHAP029.htm#I57">R 29.8</a>
<dt>IsGroupOfAutomorphisms <a href="ref/CHAP035.htm#I19">R 35.6</a>
<dt>IsGroupRing <a href="ref/CHAP059.htm#I5">R 59.1</a>
<dt>IsHandledByNiceBasis <a href="ref/CHAP052.htm#I33">R 52.3</a>
<dt>IsHandledByNiceMonomorphism <a href="ref/CHAP035.htm#I10">R 35.4</a>
<dt>IsHomogeneousList <a href="ref/CHAP020.htm#I3">R 20.1</a>
<dt>IsIdenticalObj <a href="ref/CHAP011.htm#I2">R 11.4</a>
<dt>IsInducedPcgs <a href="ref/CHAP040.htm#I31">R 40.7</a>
<dt>IsInducedPcgsWrtSpecialPcgs <a href="ref/CHAP040.htm#I72">R 40.13</a>
<dt>IsInfinity <a href="ref/CHAP017.htm#I20">R 17.2</a>
<dt>IsInjective <a href="ref/CHAP029.htm#I21">R 29.2</a>
<dt>IsInnerAutomorphism <a href="ref/CHAP035.htm#I15">R 35.5</a>
<dt>IsInputStream <a href="ref/CHAP009.htm#I3">R 9.1</a>
<dt>IsInputTextNone <a href="ref/CHAP009.htm#I5">R 9.1</a>
<dt>IsInputTextStream <a href="ref/CHAP009.htm#I4">R 9.1</a>
<dt>IsInt <a href="ref/CHAP013.htm#I7">R 13.1</a>
<dt>IsIntegerMatrixGroup <a href="ref/CHAP039.htm#I19">R 39.3</a>
<dt>IsIntegers <a href="ref/CHAP013.htm#I4">R 13.0</a>
<dt>IsIntegralBasis <a href="ref/CHAP056.htm#I35">R 56.4</a>
<dt>IsIntegralCyclotomic <a href="ref/CHAP017.htm#I9">R 17.1</a>
<dt>IsIntegralRing <a href="ref/CHAP051.htm#I54">R 51.4</a>
<dt>IsInternallyConsistent <a href="ref/CHAP011.htm#I14">R 11.7</a> <a href="ref/CHAP064.htm#I32">R 64.9</a> <a href="ref/CHAP065.htm#I82">R 65.9</a>
<dt>IsInternallyConsistent, for character tables <a href="ref/CHAP065.htm#I81">R 65.9</a>
<dt>IsInternallyConsistent, for tables of marks <a href="ref/CHAP064.htm#I31">R 64.9</a>
<dt>IsIrreducibleCharacter <a href="ref/CHAP066.htm#I26">R 66.8</a>
<dt>IsIrreducibleRingElement <a href="ref/CHAP051.htm#I71">R 51.5</a>
<dt>IsIterator <a href="ref/CHAP027.htm#I67">R 27.7</a>
<dt>IsJacobianElement <a href="ref/CHAP028.htm#I91">R 28.14</a>
<dt>IsJacobianElementCollColl <a href="ref/CHAP028.htm#I93">R 28.14</a>
<dt>IsJacobianElementCollection <a href="ref/CHAP028.htm#I92">R 28.14</a>
<dt>IsJacobianRing <a href="ref/CHAP051.htm#I61">R 51.4</a>
<dt>IsKnuthBendixRewritingSystem <a href="ref/CHAP048.htm#I17">R 48.4</a>
<dt>IsLDistributive <a href="ref/CHAP051.htm#I56">R 51.4</a>
<dt>IsLaurentPolynomial <a href="ref/CHAP060.htm#I24">R 60.4</a>
<dt>IsLaurentPolynomialDefaultRep <a href="ref/CHAP060.htm#I86">R 60.18</a>
<dt>IsLeftIdeal <a href="ref/CHAP051.htm#I29">R 51.2</a>
<dt>IsLeftIdealInParent <a href="ref/CHAP051.htm#I32">R 51.2</a>
<dt>IsLeftModule <a href="ref/CHAP052.htm#I2">R 52.1</a>
<dt>IsLeftModuleGeneralMapping <a href="ref/CHAP029.htm#I68">R 29.10</a>
<dt>IsLeftModuleHomomorphism <a href="ref/CHAP029.htm#I69">R 29.10</a>
<dt>IsLeftOperatorAdditiveGroup <a href="ref/CHAP052.htm#I1">R 52.1</a>
<dt>IsLeftSemigroupIdeal <a href="ref/CHAP046.htm#I29">R 46.2</a>
<dt>IsLeftSemigroupIdealEnumerator <a href="ref/CHAP046.htm#I33">R 46.2</a>
<dt>IsLeftVectorSpace <a href="ref/CHAP056.htm#I10">R 56.2</a>
<dt>IsLexicographicallyLess <a href="ref/CHAP020.htm#I86">R 20.16</a>
<dt>IsLieAbelian <a href="ref/CHAP058.htm#I33">R 58.5</a>
<dt>IsLieAlgebra <a href="ref/CHAP057.htm#I56">R 57.7</a>
<dt>IsLieMatrix <a href="ref/CHAP023.htm#I3">R 23.0</a>
<dt>IsLieNilpotent <a href="ref/CHAP058.htm#I34">R 58.5</a>
<dt>IsLieObject <a href="ref/CHAP058.htm#I2">R 58.1</a>
<dt>IsLieObjectCollection <a href="ref/CHAP058.htm#I3">R 58.1</a>
<dt>IsLieSolvable <a href="ref/CHAP058.htm#I35">R 58.5</a>
<dt>IsLinearMapping <a href="ref/CHAP029.htm#I70">R 29.10</a>
<dt>IsList <a href="ref/CHAP020.htm#I1">R 20.1</a>
<dt>IsListDefault <a href="ref/CHAP020.htm#I35">R 20.11</a>
<dt>IsListOrCollection <a href="ref/CHAP027.htm#I7">R 27.2</a>
<dt>IsLowerAlphaChar <a href="ref/CHAP025.htm#I9">R 25.2</a>
<dt>IsLowerTriangularMat <a href="ref/CHAP023.htm#I45">R 23.2</a>
<dt>IsMagma <a href="ref/CHAP031.htm#I1">R 31.1</a>
<dt>IsMagmaHomomorphism <a href="ref/CHAP029.htm#I50">R 29.7</a>
<dt>IsMagmaRingModuloRelations <a href="ref/CHAP059.htm#I18">R 59.4</a>
<dt>IsMagmaRingModuloSpanOfZero <a href="ref/CHAP059.htm#I20">R 59.5</a>
<dt>IsMagmaWithInverses <a href="ref/CHAP031.htm#I4">R 31.1</a>
<dt>IsMagmaWithInversesIfNonzero <a href="ref/CHAP031.htm#I3">R 31.1</a>
<dt>IsMagmaWithOne <a href="ref/CHAP031.htm#I2">R 31.1</a>
<dt>IsMapping <a href="ref/CHAP029.htm#I20">R 29.2</a>
<dt>IsMatrix <a href="ref/CHAP023.htm#I1">R 23.0</a>
<dt>IsMatrixGroup <a href="ref/CHAP039.htm#I1">R 39.0</a>
<dt>IsMatrixModuleRep <a href="ref/CHAP052.htm#I28">R 52.3</a>
<dt>IsMinimalNonmonomial <a href="ref/CHAP068.htm#I21">R 68.4</a>
<dt>IsModuloPcgs <a href="ref/CHAP040.htm#I45">R 40.9</a>
<dt>IsMonoid <a href="ref/CHAP047.htm#I1">R 47.0</a>
<dt>IsMonomialGroup <a href="ref/CHAP034.htm#I95">R 34.14</a>
<dt>IsMonomialMatrix <a href="ref/CHAP023.htm#I42">R 23.2</a>
<dt>IsMonomialNumber <a href="ref/CHAP068.htm#I12">R 68.3</a>
<dt>IsMultiplicativeElement <a href="ref/CHAP028.htm#I66">R 28.13</a>
<dt>IsMultiplicativeElementWithInverse <a href="ref/CHAP028.htm#I69">R 28.13</a>
<dt>IsMultiplicativeElementWithOne <a href="ref/CHAP028.htm#I67">R 28.13</a>
<dt>IsMultiplicativeElementWithZero <a href="ref/CHAP028.htm#I68">R 28.13</a>
<dt>IsMultiplicativeZero <a href="ref/CHAP031.htm#I47">R 31.4</a>
<dt>IsMutable <a href="ref/CHAP011.htm#I4">R 11.5</a>
<dt>IsMutableBasis <a href="ref/CHAP056.htm#I47">R 56.5</a>
<dt>IsNaturalAlternatingGroup <a href="ref/CHAP038.htm#I7">R 38.3</a>
<dt>IsNaturalGL <a href="ref/CHAP039.htm#I6">R 39.1</a>
<dt>IsNaturalGLnZ <a href="ref/CHAP039.htm#I20">R 39.3</a>
<dt>IsNaturalSL <a href="ref/CHAP039.htm#I9">R 39.1</a>
<dt>IsNaturalSymmetricGroup <a href="ref/CHAP038.htm#I6">R 38.3</a>
<dt>IsNearAdditiveElement <a href="ref/CHAP028.htm#I58">R 28.13</a>
<dt>IsNearAdditiveElementWithInverse <a href="ref/CHAP028.htm#I62">R 28.13</a>
<dt>IsNearAdditiveElementWithZero <a href="ref/CHAP028.htm#I60">R 28.13</a>
<dt>IsNearAdditiveGroup <a href="ref/CHAP050.htm#I3">R 50.1</a>
<dt>IsNearAdditiveMagma <a href="ref/CHAP050.htm#I1">R 50.1</a>
<dt>IsNearAdditiveMagmaWithInverses <a href="ref/CHAP050.htm#I4">R 50.1</a>
<dt>IsNearAdditiveMagmaWithZero <a href="ref/CHAP050.htm#I2">R 50.1</a>
<dt>IsNearRingElement <a href="ref/CHAP028.htm#I71">R 28.13</a>
<dt>IsNearRingElementWithInverse <a href="ref/CHAP028.htm#I75">R 28.13</a>
<dt>IsNearRingElementWithOne <a href="ref/CHAP028.htm#I73">R 28.13</a>
<dt>IsNearlyCharacterTable <a href="ref/CHAP065.htm#I19">R 65.3</a>
<dt>IsNegRat <a href="ref/CHAP015.htm#I6">R 15.1</a>
<dt>IsNilpotentElement <a href="ref/CHAP058.htm#I48">R 58.9</a>
<dt>IsNilpotentGroup <a href="ref/CHAP034.htm#I90">R 34.14</a>
<dt>IsNonSPGeneralMapping <a href="ref/CHAP029.htm#I86">R 29.13</a>
<dt>IsNonTrivial <a href="ref/CHAP027.htm#I33">R 27.3</a>
<dt>IsNonnegativeIntegers <a href="ref/CHAP013.htm#I6">R 13.0</a>
<dt>IsNormal <a href="ref/CHAP034.htm#I18">R 34.3</a>
<dt>IsNormalBasis <a href="ref/CHAP056.htm#I36">R 56.4</a>
<dt>IsNotIdenticalObj <a href="ref/CHAP011.htm#I3">R 11.4</a>
<dt>IsNumberField <a href="ref/CHAP055.htm#I10">R 55.2</a>
<dt>IsObject <a href="ref/CHAP011.htm#I1">R 11.1</a>
<dt>IsOddInt <a href="ref/CHAP013.htm#I11">R 13.1</a>
<dt>IsOne <a href="ref/CHAP028.htm#I29">R 28.9</a>
<dt>IsOrdinaryMatrix <a href="ref/CHAP023.htm#I2">R 23.0</a>
<dt>IsOrdinaryTable <a href="ref/CHAP065.htm#I21">R 65.3</a>
<dt>IsOutputStream <a href="ref/CHAP009.htm#I6">R 9.1</a>
<dt>IsOutputTextNone <a href="ref/CHAP009.htm#I8">R 9.1</a>
<dt>IsOutputTextStream <a href="ref/CHAP009.htm#I7">R 9.1</a>
<dt>IsPGroup <a href="ref/CHAP034.htm#I101">R 34.14</a>
<dt>IsPNilpotent <a href="ref/CHAP034.htm#I106">R 34.14</a>
<dt>IsPSolvable <a href="ref/CHAP034.htm#I105">R 34.14</a>
<dt>IsPSolvableCharacterTable <a href="ref/CHAP065.htm#I83">R 65.9</a>
<dt>IsPSolvableCharacterTableOp <a href="ref/CHAP065.htm#I84">R 65.9</a>
<dt>IsPadicExtensionNumber <a href="ref/CHAP062.htm#I11">R 62.2</a>
<dt>IsPadicExtensionNumberFamily <a href="ref/CHAP062.htm#I12">R 62.2</a>
<dt>IsParentPcgsFamilyPcgs <a href="ref/CHAP041.htm#I4">R 41.1</a>
<dt>IsPcGroup <a href="ref/CHAP041.htm#I7">R 41.3</a>
<dt>IsPcGroupGeneralMappingByImages <a href="ref/CHAP035.htm#I38">R 35.9</a>
<dt>IsPcGroupHomomorphismByImages <a href="ref/CHAP035.htm#I39">R 35.9</a>
<dt>IsPcgs <a href="ref/CHAP040.htm#I2">R 40.2</a>
<dt>IsPcgsCentralSeries <a href="ref/CHAP040.htm#I57">R 40.11</a>
<dt>IsPcgsElementaryAbelianSeries <a href="ref/CHAP040.htm#I55">R 40.11</a>
<dt>IsPcgsPCentralSeriesPGroup <a href="ref/CHAP040.htm#I59">R 40.11</a>
<dt>IsPerfectGroup <a href="ref/CHAP034.htm#I91">R 34.14</a>
<dt>IsPerm <a href="ref/CHAP037.htm#I1">R 37.0</a>
<dt>IsPermCollColl <a href="ref/CHAP037.htm#I3">R 37.0</a>
<dt>IsPermCollection <a href="ref/CHAP037.htm#I2">R 37.0</a>
<dt>IsPermGroup <a href="ref/CHAP038.htm#I1">R 38.0</a>
<dt>IsPermGroupGeneralMappingByImages <a href="ref/CHAP035.htm#I33">R 35.9</a>
<dt>IsPermGroupHomomorphismByImages <a href="ref/CHAP035.htm#I34">R 35.9</a>
<dt>IsPolycyclicGroup <a href="ref/CHAP034.htm#I93">R 34.14</a>
<dt>IsPolynomial <a href="ref/CHAP060.htm#I19">R 60.4</a>
<dt>IsPolynomialDefaultRep <a href="ref/CHAP060.htm#I84">R 60.18</a>
<dt>IsPolynomialRing <a href="ref/CHAP060.htm#I66">R 60.13</a>
<dt>IsPosInt <a href="ref/CHAP013.htm#I8">R 13.1</a>
<dt>IsPosRat <a href="ref/CHAP015.htm#I5">R 15.1</a>
<dt>IsPositiveIntegers <a href="ref/CHAP013.htm#I5">R 13.0</a>
<dt>IsPreimagesByAsGroupGeneralMappingByImages <a href="ref/CHAP035.htm#I32">R 35.9</a>
<dt>IsPrime <a href="ref/CHAP051.htm#I73">R 51.5</a>
<dt>IsPrimeField <a href="ref/CHAP053.htm#I24">R 53.2</a>
<dt>IsPrimeInt <a href="ref/CHAP013.htm#I37">R 13.3</a>
<dt>IsPrimeOrdersPcgs <a href="ref/CHAP040.htm#I8">R 40.4</a>
<dt>IsPrimePowerInt <a href="ref/CHAP013.htm#I39">R 13.3</a>
<dt>IsPrimitive <a href="ref/CHAP036.htm#I64">R 36.8</a>
<dt>IsPrimitiveCharacter <a href="ref/CHAP068.htm#I8">R 68.2</a>
<dt>IsPrimitiveRootMod <a href="ref/CHAP014.htm#I22">R 14.2</a>
<dt>IsProbablyPrimeInt <a href="ref/CHAP013.htm#I38">R 13.3</a>
<dt>IsPseudoCanonicalBasisFullHomModule <a href="ref/CHAP056.htm#I63">R 56.6</a>
<dt>IsPurePadicNumber <a href="ref/CHAP062.htm#I5">R 62.1</a>
<dt>IsPurePadicNumberFamily <a href="ref/CHAP062.htm#I6">R 62.1</a>
<dt>IsQuasiPrimitive <a href="ref/CHAP068.htm#I7">R 68.2</a>
<dt>IsQuaternion <a href="ref/CHAP057.htm#I59">R 57.7</a>
<dt>IsQuaternionCollColl <a href="ref/CHAP057.htm#I61">R 57.7</a>
<dt>IsQuaternionCollection <a href="ref/CHAP057.htm#I60">R 57.7</a>
<dt>IsQuickPositionList <a href="ref/CHAP020.htm#I126">R 20.19</a>
<dt>IsQuotientSemigroup <a href="ref/CHAP046.htm#I37">R 46.4</a>
<dt>IsRDistributive <a href="ref/CHAP051.htm#I57">R 51.4</a>
<dt>IsRange <a href="ref/CHAP020.htm#I124">R 20.18</a>
<dt>IsRat <a href="ref/CHAP015.htm#I3">R 15.1</a>
<dt>IsRationalFunction <a href="ref/CHAP060.htm#I16">R 60.4</a>
<dt>IsRationalFunctionDefaultRep <a href="ref/CHAP060.htm#I80">R 60.18</a>
<dt>IsRationalFunctionsFamily <a href="ref/CHAP060.htm#I78">R 60.16</a>
<dt>IsRationalMatrixGroup <a href="ref/CHAP039.htm#I18">R 39.3</a>
<dt>IsRationals <a href="ref/CHAP015.htm#I2">R 15.0</a>
<dt>IsRationalsPolynomialRing <a href="ref/CHAP060.htm#I68">R 60.13</a>
<dt>IsReadOnlyGlobal <a href="ref/CHAP004.htm#I11">R 4.9</a>
<dt>IsReadableFile <a href="ref/CHAP008.htm#I9">R 8.6</a>
<dt>IsRecord <a href="ref/CHAP026.htm#I2">R 26.0</a>
<dt>IsRecordCollColl <a href="ref/CHAP026.htm#I4">R 26.0</a>
<dt>IsRecordCollection <a href="ref/CHAP026.htm#I3">R 26.0</a>
<dt>IsReduced <a href="ref/CHAP033.htm#I7">R 33.1</a>
<dt>IsReesCongruence <a href="ref/CHAP046.htm#I36">R 46.3</a>
<dt>IsReesCongruenceSemigroup <a href="ref/CHAP046.htm#I21">R 46.0</a>
<dt>IsReesMatrixSemigroup <a href="ref/CHAP046.htm#I84">R 46.6</a>
<dt>IsReesMatrixSemigroupElement <a href="ref/CHAP046.htm#I88">R 46.6</a>
<dt>IsReesZeroMatrixSemigroup <a href="ref/CHAP046.htm#I85">R 46.6</a>
<dt>IsReesZeroMatrixSemigroupElement <a href="ref/CHAP046.htm#I89">R 46.6</a>
<dt>IsReflexiveBinaryRelation <a href="ref/CHAP030.htm#I4">R 30.1</a>
<dt>IsRegular <a href="ref/CHAP036.htm#I60">R 36.8</a>
<dt>IsRegularDClass <a href="ref/CHAP046.htm#I81">R 46.5</a>
<dt>IsRegularSemigroup <a href="ref/CHAP046.htm#I16">R 46.0</a>
<dt>IsRegularSemigroupElement <a href="ref/CHAP046.htm#I17">R 46.0</a>
<dt>IsRestrictedLieAlgebra <a href="ref/CHAP058.htm#I40">R 58.8</a>
<dt>IsRewritingSystem <a href="ref/CHAP033.htm#I1">R 33.1</a>
<dt>IsRightCoset <a href="ref/CHAP034.htm#I39">R 34.6</a>
<dt>IsRightIdeal <a href="ref/CHAP051.htm#I30">R 51.2</a>
<dt>IsRightIdealInParent <a href="ref/CHAP051.htm#I33">R 51.2</a>
<dt>IsRightModule <a href="ref/CHAP052.htm#I7">R 52.1</a>
<dt>IsRightOperatorAdditiveGroup <a href="ref/CHAP052.htm#I6">R 52.1</a>
<dt>IsRightSemigroupIdeal <a href="ref/CHAP046.htm#I30">R 46.2</a>
<dt>IsRightSemigroupIdealEnumerator <a href="ref/CHAP046.htm#I32">R 46.2</a>
<dt>IsRing <a href="ref/CHAP051.htm#I1">R 51.1</a>
<dt>IsRingElement <a href="ref/CHAP028.htm#I72">R 28.13</a>
<dt>IsRingElementWithInverse <a href="ref/CHAP028.htm#I76">R 28.13</a>
<dt>IsRingElementWithOne <a href="ref/CHAP028.htm#I74">R 28.13</a>
<dt>IsRingGeneralMapping <a href="ref/CHAP029.htm#I73">R 29.11</a>
<dt>IsRingHomomorphism <a href="ref/CHAP029.htm#I74">R 29.11</a>
<dt>IsRingWithOne <a href="ref/CHAP051.htm#I47">R 51.3</a>
<dt>IsRingWithOneGeneralMapping <a href="ref/CHAP029.htm#I75">R 29.11</a>
<dt>IsRingWithOneHomomorphism <a href="ref/CHAP029.htm#I76">R 29.11</a>
<dt>IsRowModuleRep <a href="ref/CHAP052.htm#I27">R 52.3</a>
<dt>IsRowVector <a href="ref/CHAP022.htm#I1">R 22.0</a>
<dt>IsSL <a href="ref/CHAP039.htm#I11">R 39.1</a>
<dt>IsSPGeneralMapping <a href="ref/CHAP029.htm#I85">R 29.13</a>
<dt>IsSSortedList <a href="ref/CHAP020.htm#I50">R 20.13</a>
<dt>IsScalar <a href="ref/CHAP028.htm#I77">R 28.13</a>
<dt>IsSemiEchelonized <a href="ref/CHAP056.htm#I37">R 56.4</a>
<dt>IsSemiRegular <a href="ref/CHAP036.htm#I58">R 36.8</a>
<dt>IsSemigroup <a href="ref/CHAP046.htm#I1">R 46.0</a>
<dt>IsSemigroupCongruence <a href="ref/CHAP046.htm#I35">R 46.3</a>
<dt>IsSemigroupIdeal <a href="ref/CHAP046.htm#I31">R 46.2</a>
<dt>IsSemigroupIdealEnumerator <a href="ref/CHAP046.htm#I34">R 46.2</a>
<dt>IsSet <a href="ref/CHAP020.htm#I51">R 20.13</a>
<dt>IsSimpleAlgebra <a href="ref/CHAP057.htm#I57">R 57.7</a>
<dt>IsSimpleGroup <a href="ref/CHAP034.htm#I96">R 34.14</a>
<dt>IsSimpleSemigroup <a href="ref/CHAP046.htm#I18">R 46.0</a>
<dt>IsSingleValued <a href="ref/CHAP029.htm#I19">R 29.2</a>
<dt>IsSolvableGroup <a href="ref/CHAP034.htm#I92">R 34.14</a>
<dt>IsSortedList <a href="ref/CHAP020.htm#I49">R 20.13</a>
<dt>IsSpecialLinearGroup <a href="ref/CHAP039.htm#I10">R 39.1</a>
<dt>IsSpecialPcgs <a href="ref/CHAP040.htm#I65">R 40.13</a>
<dt>IsStream <a href="ref/CHAP009.htm#I1">R 9.1</a>
<dt>IsString <a href="ref/CHAP025.htm#I5">R 25.0</a>
<dt>IsStringRep <a href="ref/CHAP025.htm#I33">R 25.7</a>
<dt>IsStruct <a href="ref/CHAP028.htm#I8">R 28.5</a>
<dt>IsSubgroup <a href="ref/CHAP034.htm#I17">R 34.3</a>
<dt>IsSubgroupFpGroup <a href="ref/CHAP042.htm#I1">R 42.0</a>
<dt>IsSubgroupOfWholeGroupByQuotientRep <a href="ref/CHAP042.htm#I40">R 42.9</a>
<dt>IsSubgroupSL <a href="ref/CHAP039.htm#I12">R 39.1</a>
<dt>IsSubnormal <a href="ref/CHAP034.htm#I22">R 34.3</a>
<dt>IsSubsemigroupFpSemigroup <a href="ref/CHAP048.htm#I1">R 48.0</a>
<dt>IsSubset <a href="ref/CHAP027.htm#I42">R 27.4</a>
<dt>IsSubsetBlist <a href="ref/CHAP021.htm#I5">R 21.1</a>
<dt>IsSubsetLocallyFiniteGroup <a href="ref/CHAP034.htm#I99">R 34.14</a>
<dt>IsSubsetSet <a href="ref/CHAP020.htm#I65">R 20.15</a>
<dt>IsSubspacesVectorSpace <a href="ref/CHAP056.htm#I13">R 56.2</a>
<dt>IsSubstruct <a href="ref/CHAP028.htm#I16">R 28.7</a>
<dt>IsSupersolvableGroup <a href="ref/CHAP034.htm#I94">R 34.14</a>
<dt>IsSurjective <a href="ref/CHAP029.htm#I22">R 29.2</a>
<dt>IsSymmetricBinaryRelation <a href="ref/CHAP030.htm#I2">R 30.1</a>
<dt>IsSymmetricGroup <a href="ref/CHAP038.htm#I8">R 38.3</a>
<dt>IsTable <a href="ref/CHAP020.htm#I4">R 20.1</a>
<dt>IsTableOfMarks <a href="ref/CHAP064.htm#I12">R 64.6</a>
<dt>IsTableOfMarksWithGens <a href="ref/CHAP064.htm#I54">R 64.10</a>
<dt>IsToPcGroupGeneralMappingByImages <a href="ref/CHAP035.htm#I40">R 35.9</a>
<dt>IsToPcGroupHomomorphismByImages <a href="ref/CHAP035.htm#I41">R 35.9</a>
<dt>IsToPermGroupGeneralMappingByImages <a href="ref/CHAP035.htm#I35">R 35.9</a>
<dt>IsToPermGroupHomomorphismByImages <a href="ref/CHAP035.htm#I36">R 35.9</a>
<dt>IsTotal <a href="ref/CHAP029.htm#I18">R 29.2</a>
<dt>IsTransformation <a href="ref/CHAP049.htm#I1">R 49.0</a>
<dt>IsTransformationCollection <a href="ref/CHAP049.htm#I2">R 49.0</a>
<dt>IsTransformationMonoid <a href="ref/CHAP046.htm#I23">R 46.1</a>
<dt>IsTransformationSemigroup <a href="ref/CHAP046.htm#I22">R 46.1</a>
<dt>IsTransitive, for class functions <a href="ref/CHAP066.htm#I40">R 66.8</a>
<dt>IsTransitive.ctblfuns <a href="ref/CHAP066.htm#I39">R 66.8</a>
<dt>IsTransitive.oprt <a href="ref/CHAP036.htm#I52">R 36.8</a>
<dt>IsTransitiveBinaryRelation <a href="ref/CHAP030.htm#I3">R 30.1</a>
<dt>IsTrivial <a href="ref/CHAP027.htm#I32">R 27.3</a>
<dt>IsTwoSidedIdeal <a href="ref/CHAP051.htm#I28">R 51.2</a>
<dt>IsTwoSidedIdealInParent <a href="ref/CHAP051.htm#I31">R 51.2</a>
<dt>IsUniqueFactorizationRing <a href="ref/CHAP051.htm#I55">R 51.4</a>
<dt>IsUnit <a href="ref/CHAP051.htm#I62">R 51.5</a>
<dt>IsUnivariatePolynomial <a href="ref/CHAP060.htm#I22">R 60.4</a>
<dt>IsUnivariatePolynomialRing <a href="ref/CHAP060.htm#I72">R 60.14</a>
<dt>IsUnivariateRationalFunction <a href="ref/CHAP060.htm#I21">R 60.4</a>
<dt>IsUnknown <a href="ref/CHAP018.htm#I5">R 18.0</a>
<dt>IsUpperAlphaChar <a href="ref/CHAP025.htm#I10">R 25.2</a>
<dt>IsUpperTriangularMat <a href="ref/CHAP023.htm#I44">R 23.2</a>
<dt>IsVector <a href="ref/CHAP028.htm#I70">R 28.13</a>
<dt>IsVectorSpace <a href="ref/CHAP056.htm#I11">R 56.2</a>
<dt>IsVirtualCharacter <a href="ref/CHAP066.htm#I25">R 66.8</a>
<dt>IsWholeFamily <a href="ref/CHAP027.htm#I34">R 27.3</a>
<dt>IsWriteableFile <a href="ref/CHAP008.htm#I10">R 8.6</a>
<dt>IsZero <a href="ref/CHAP028.htm#I30">R 28.9</a>
<dt>IsZeroGroup <a href="ref/CHAP046.htm#I20">R 46.0</a>
<dt>IsZeroSimpleSemigroup <a href="ref/CHAP046.htm#I19">R 46.0</a>
<dt>IsZeroSquaredElement <a href="ref/CHAP028.htm#I94">R 28.14</a>
<dt>IsZeroSquaredElementCollColl <a href="ref/CHAP028.htm#I96">R 28.14</a>
<dt>IsZeroSquaredElementCollection <a href="ref/CHAP028.htm#I95">R 28.14</a>
<dt>IsZeroSquaredRing <a href="ref/CHAP051.htm#I60">R 51.4</a>
<dt>IsZmodnZObj <a href="ref/CHAP013.htm#I53">R 13.4</a>
<dt>IsZmodnZObjNonprime <a href="ref/CHAP013.htm#I54">R 13.4</a>
<dt>IsZmodpZObj <a href="ref/CHAP013.htm#I55">R 13.4</a>
<dt>IsZmodpZObjLarge <a href="ref/CHAP013.htm#I57">R 13.4</a>
<dt>IsZmodpZObjSmall <a href="ref/CHAP013.htm#I56">R 13.4</a>
<dt>IsomorphismFpAlgebra <a href="ref/CHAP057.htm#I92">R 57.9</a>
<dt>IsomorphismFpGroup <a href="ref/CHAP042.htm#I36">R 42.8</a>
<dt>IsomorphismFpGroupByGenerators <a href="ref/CHAP042.htm#I37">R 42.8</a>
<dt>IsomorphismFpGroupByPcgs <a href="ref/CHAP041.htm#I8">R 41.3</a>
<dt>IsomorphismFpSemigroup <a href="ref/CHAP048.htm#I8">R 48.1</a>
<dt>IsomorphismGroups <a href="ref/CHAP035.htm#I27">R 35.8</a>
<dt>IsomorphismMatrixAlgebra <a href="ref/CHAP057.htm#I93">R 57.9</a>
<dt>IsomorphismPcGroup <a href="ref/CHAP041.htm#I22">R 41.5</a>
<dt>IsomorphismPermGroup <a href="ref/CHAP038.htm#I4">R 38.2</a>
<dt>IsomorphismReesMatrixSemigroup <a href="ref/CHAP046.htm#I100">R 46.6</a>
<dt>IsomorphismRefinedPcGroup <a href="ref/CHAP041.htm#I18">R 41.4</a>
<dt>IsomorphismSpecialPcGroup <a href="ref/CHAP041.htm#I24">R 41.5</a>
<dt>IsomorphismTransformationSemigroup <a href="ref/CHAP046.htm#I25">R 46.1</a>
<dt>IsomorphismTypeFiniteSimpleGroup <a href="ref/CHAP034.htm#I97">R 34.14</a>
<dt>Iterated <a href="ref/CHAP020.htm#I119">R 20.16</a>
<dt>Iterator <a href="ref/CHAP027.htm#I63">R 27.7</a>
<dt>IteratorByBasis <a href="ref/CHAP056.htm#I46">R 56.4</a>
<dt>IteratorList <a href="ref/CHAP027.htm#I70">R 27.7</a>
<dt>IteratorSorted <a href="ref/CHAP027.htm#I65">R 27.7</a>
<dt>iN <a href="ref/CHAP017.htm#I38">R 17.4</a>
<dt>identifier <a href="tut/CHAP002.htm#I10">T 2.4</a>
<dt>if statement <a href="ref/CHAP004.htm#I50">R 4.16</a>
<dt>image, vector under matrix <a href="ref/CHAP023.htm#I23">R 23.1</a>
<dt>in, for collections <a href="ref/CHAP027.htm#I54">R 27.5</a>
<dt>in, for lists <a href="ref/CHAP020.htm#I26">R 20.8</a>
<dt>in, for strictly sorted lists <a href="ref/CHAP020.htm#I62">R 20.15</a>
<dt>in, operation for <a href="ref/CHAP027.htm#I55">R 27.5</a>
<dt>inequality test <a href="ref/CHAP004.htm#I26">R 4.11</a>
<dt>inequality, of records <a href="ref/CHAP026.htm#I14">R 26.4</a>
<dt>infinity <a href="ref/CHAP017.htm#I21">R 17.2</a>
<dt>inflated class functions <a href="ref/CHAP066.htm#I47">R 66.9</a>
<dt>installation <a href="ref/CHAP070.htm#I1">R 70.0</a>
<dt>installation, under UNIX <a href="ref/CHAP070.htm#I18">R 70.4</a>
<dt>installation, under Windows <a href="ref/CHAP070.htm#I21">R 70.10</a>
<dt>integer part of a quotient <a href="ref/CHAP013.htm#I24">R 13.2</a>
<dt>internet config <a href="ref/CHAP002.htm#I14">R 2.5</a> <a href="ref/CHAP070.htm#I26">R 70.14</a>
<dt>intersection, of collections <a href="ref/CHAP027.htm#I47">R 27.4</a>
<dt>intersection, of sets <a href="ref/CHAP020.htm#I73">R 20.15</a>
<dt>inverse, matrix <a href="ref/CHAP023.htm#I16">R 23.1</a>
<dt>irrationalities <a href="ref/CHAP017.htm#I2">R 17.0</a>
<dt>irreducible characters, computation <a href="ref/CHAP065.htm#I113">R 65.13</a>
<dt>isomorphic, pc group <a href="ref/CHAP041.htm#I19">R 41.4</a> <a href="ref/CHAP041.htm#I23">R 41.5</a>
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