<html><head><title>The GAP 4 Reference Manual - Index C</title></head> <body text="#000000" bgcolor="#ffffff"> <h1>The <font face="Gill Sans,Helvetica,Arial">GAP</font> 4 Reference Manual - Index C</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> <dt>c_N <a href="CHAP018.htm#I12">18.4</a> <dt>Calculating with Group Automorphisms <a href="CHAP038.htm#SECT008">38.8</a> <dt>Calendar Arithmetic <a href="CHAP026.htm#SECT008">26.8</a> <dt>CallFuncList <a href="CHAP005.htm#SSEC002.1">5.2.1</a> <dt>Calling a function with a list argument that is interpreted as several arguments <a href="CHAP005.htm#SECT002">5.2</a> <dt>Cancellation Tests for Rational Functions <a href="CHAP064.htm#SECT023">64.23</a> <dt>CanComputeIndex <a href="CHAP037.htm#SSEC025.4">37.25.4</a> <dt>CanComputeIsSubset <a href="CHAP037.htm#SSEC025.5">37.25.5</a> <dt>CanComputeSize <a href="CHAP037.htm#SSEC025.2">37.25.2</a> <dt>CanComputeSizeAnySubgroup <a href="CHAP037.htm#SSEC025.3">37.25.3</a> <dt>candidates, for permutation characters <a href="CHAP070.htm#I42">70.13</a> <a href="CHAP070.htm#I46">70.14</a> <dt>CanEasilyCompareElements <a href="CHAP030.htm#SSEC011.2">30.11.2</a> <dt>CanEasilyCompareElementsFamily <a href="CHAP030.htm#SSEC011.2">30.11.2</a> <dt>CanEasilyComputePcgs <a href="CHAP043.htm#SSEC002.3">43.2.3</a> <dt>CanEasilySortElements <a href="CHAP030.htm#SSEC011.2">30.11.2</a> <dt>CanEasilySortElementsFamily <a href="CHAP030.htm#SSEC011.2">30.11.2</a> <dt>CanEasilyTestMembership <a href="CHAP037.htm#SSEC025.1">37.25.1</a> <dt>canonical basis, for matrix spaces <a href="CHAP059.htm#I3">59.8</a> <dt>canonical basis, for row spaces <a href="CHAP059.htm#I2">59.8</a> <dt>CanonicalBasis <a href="CHAP059.htm#SSEC004.3">59.4.3</a> <dt>CanonicalGenerators <a href="CHAP061.htm#SSEC007.14">61.7.14</a> <dt>CanonicalPcElement <a href="CHAP043.htm#SSEC005.9">43.5.9</a> <dt>CanonicalPcgs <a href="CHAP043.htm#SSEC008.2">43.8.2</a> <dt>CanonicalPcgsByGeneratorsWithImages <a href="CHAP043.htm#SSEC009.7">43.9.7</a> <dt>CanonicalRepresentativeDeterminatorOfExternalSet <a href="CHAP039.htm#SSEC011.14">39.11.14</a> <dt>CanonicalRepresentativeOfExternalSet <a href="CHAP039.htm#SSEC011.13">39.11.13</a> <dt>CanonicalRightCosetElement <a href="CHAP037.htm#SSEC007.3">37.7.3</a> <dt>Carmichael's lambda function <a href="CHAP015.htm#I5">15.1</a> <dt>carriage return character <a href="CHAP026.htm#I16">26.1</a> <dt>CartanMatrix <a href="CHAP061.htm#SSEC007.12">61.7.12</a> <dt>CartanSubalgebra <a href="CHAP061.htm#SSEC003.7">61.3.7</a> <dt>Cartesian <a href="CHAP021.htm#SSEC020.15">21.20.15</a> <dt>Categories <a href="CHAP013.htm#SECT003">13.3</a> <dt>Categories and Properties of Algebras <a href="CHAP060.htm#SECT007">60.7</a> <dt>Categories for Streams and the StreamsFamily <a href="CHAP010.htm#SECT001">10.1</a> <dt>Categories of Associative Words <a href="CHAP035.htm#SECT001">35.1</a> <dt>Categories of Matrices <a href="CHAP024.htm#SECT001">24.1</a> <dt>Categories of Words and Nonassociative Words <a href="CHAP034.htm#SECT001">34.1</a> <dt>CategoriesOfObject <a href="CHAP013.htm#SSEC003.1">13.3.1</a> <dt>CategoryCollections <a href="CHAP028.htm#SSEC001.4">28.1.4</a> <dt>Center <a href="CHAP033.htm#SSEC004.5">33.4.5</a> <dt>center <a href="CHAP033.htm#I1">33.4</a> <dt>central character <a href="CHAP070.htm#I30">70.8</a> <dt>CentralCharacter <a href="CHAP070.htm#SSEC008.17">70.8.17</a> <dt>CentralIdempotentsOfAlgebra <a href="CHAP060.htm#SSEC008.17">60.8.17</a> <dt>centraliser <a href="CHAP033.htm#I0">33.4</a> <dt>Centralizer <a href="CHAP033.htm#SSEC004.4">33.4.4</a> <dt>Centralizer, for groups with pcgs <a href="CHAP043.htm#I5">43.16</a> <dt>CentralizerInGLnZ <a href="CHAP042.htm#SSEC005.8">42.5.8</a> <dt>CentralizerModulo <a href="CHAP037.htm#SSEC018.7">37.18.7</a> <dt>CentralizerSizeLimitConsiderFunction <a href="CHAP043.htm#SSEC017.2">43.17.2</a> <dt>CentralNormalSeriesByPcgs <a href="CHAP043.htm#SSEC011.8">43.11.8</a> <dt>Centre <a href="CHAP033.htm#SSEC004.5">33.4.5</a> <dt>Centre, for groups with pcgs <a href="CHAP043.htm#I11">43.16</a> <dt>centre, of a character <a href="CHAP070.htm#I27">70.8</a> <dt>CentreOfCharacter <a href="CHAP070.htm#SSEC008.11">70.8.11</a> <dt>CF <a href="CHAP058.htm#I0">58.1</a> <dt>ChangeStabChain <a href="CHAP041.htm#SSEC010.3">41.10.3</a> <dt>Changing Presentations <a href="CHAP046.htm#SECT006">46.6</a> <dt>Changing the Help Viewer <a href="CHAP002.htm#SECT003">2.3</a> <dt>Changing the Representation <a href="CHAP030.htm#SECT005">30.5</a> <dt>Changing the Structure <a href="CHAP030.htm#SECT004">30.4</a> <dt>CHAR_INT <a href="CHAP026.htm#SSEC006.2">26.6.2</a> <dt>CHAR_SINT <a href="CHAP026.htm#SSEC006.4">26.6.4</a> <dt>Character <a href="CHAP070.htm#SSEC006.3">70.6.3</a> <dt>Character Conversion <a href="CHAP026.htm#SECT006">26.6</a> <dt>Character Degrees and Derived Length <a href="CHAP072.htm#SECT001">72.1</a> <dt>Character Table Categories <a href="CHAP069.htm#SECT004">69.4</a> <dt>Character Tables <a href="CHAP069.htm">69.0</a> <dt>character tables <a href="CHAP069.htm#I2">69.3</a> <dt>character tables, access to <a href="CHAP069.htm#I4">69.3</a> <dt>character tables, calculate <a href="CHAP069.htm#I5">69.3</a> <dt>character tables, infix operators <a href="CHAP069.htm#I10">69.7</a> <dt>character tables, of groups <a href="CHAP069.htm#I6">69.3</a> <dt>character value, of group element using powering operator <a href="CHAP070.htm#I8">70.4</a> <dt>CharacterDegrees <a href="CHAP069.htm#SSEC008.1">69.8.1</a> <dt>Characteristic <a href="CHAP030.htm#SSEC010.1">30.10.1</a> <dt>characteristic polynomial, for field elements <a href="CHAP056.htm#I3">56.3</a> <dt>characteristic, for class functions <a href="CHAP070.htm#I11">70.4</a> <dt>CharacteristicPolynomial <a href="CHAP024.htm#SSEC012.1">24.12.1</a> <dt>CharacterNames <a href="CHAP069.htm#SSEC008.10">69.8.10</a> <dt>CharacterParameters <a href="CHAP069.htm#SSEC008.11">69.8.11</a> <dt>characters <a href="CHAP070.htm#I0">70.0</a> <dt>characters, permutation <a href="CHAP070.htm#I41">70.13</a> <a href="CHAP070.htm#I45">70.14</a> <dt>characters, symmetrizations of <a href="CHAP070.htm#I36">70.11</a> <dt>CharacterTable <a href="CHAP069.htm#SSEC003.1">69.3.1</a> <dt>CharacterTableDirectProduct <a href="CHAP069.htm#SSEC018.1">69.18.1</a> <dt>CharacterTableFactorGroup <a href="CHAP069.htm#SSEC018.3">69.18.3</a> <dt>CharacterTableIsoclinic <a href="CHAP069.htm#SSEC018.4">69.18.4</a> <dt>CharacterTableRegular <a href="CHAP069.htm#SSEC003.3">69.3.3</a> <dt>CharacterTableWithSortedCharacters <a href="CHAP069.htm#SSEC019.1">69.19.1</a> <dt>CharacterTableWithSortedClasses <a href="CHAP069.htm#SSEC019.3">69.19.3</a> <dt>CharacterTableWreathSymmetric <a href="CHAP069.htm#SSEC018.6">69.18.6</a> <dt>CharsFamily <a href="CHAP026.htm#SSEC002.6">26.2.6</a> <dt>CheapFactorsInt <a href="CHAP014.htm#I8">14.3</a> <dt>CheckFixedPoints <a href="CHAP071.htm#SSEC003.10">71.3.10</a> <dt>CheckForHandlingByNiceBasis <a href="CHAP059.htm#SSEC011.3">59.11.3</a> <dt>CheckPermChar <a href="CHAP071.htm#SSEC005.2">71.5.2</a> <dt>ChevalleyBasis <a href="CHAP061.htm#SSEC007.2">61.7.2</a> <dt>ChiefNormalSeriesByPcgs <a href="CHAP043.htm#SSEC011.16">43.11.16</a> <dt>ChiefSeries <a href="CHAP037.htm#SSEC017.1">37.17.1</a> <dt>ChiefSeriesThrough <a href="CHAP037.htm#SSEC017.2">37.17.2</a> <dt>ChiefSeriesUnderAction <a href="CHAP037.htm#SSEC017.3">37.17.3</a> <dt>Chinese remainder <a href="CHAP014.htm#I7">14.2</a> <dt>ChineseRem <a href="CHAP014.htm#SSEC002.9">14.2.9</a> <dt>Chomp <a href="CHAP026.htm#SSEC005.12">26.5.12</a> <dt>CIUnivPols <a href="CHAP064.htm#SSEC001.5">64.1.5</a> <dt>class function <a href="CHAP070.htm#I4">70.0</a> <dt>class function objects <a href="CHAP070.htm#I5">70.0</a> <dt>Class Functions <a href="CHAP070.htm">70.0</a> <dt>class functions <a href="CHAP071.htm#I7">71.3</a> <dt>class functions, as ring elements <a href="CHAP070.htm#I6">70.4</a> <dt>Class Fusions between Character Tables <a href="CHAP071.htm#SECT002">71.2</a> <dt>class multiplication coefficient <a href="CHAP069.htm#I29">69.10</a> <dt>ClassElementLattice <a href="CHAP037.htm#SSEC020.2">37.20.2</a> <dt>classes, real <a href="CHAP069.htm#I27">69.8</a> <dt>ClassesSolvableGroup <a href="CHAP043.htm#SSEC017.1">43.17.1</a> <dt>ClassFunction <a href="CHAP070.htm#SSEC006.1">70.6.1</a> <dt>ClassFunctionSameType <a href="CHAP070.htm#SSEC006.4">70.6.4</a> <dt>Classical Groups <a href="CHAP048.htm#SECT002">48.2</a> <dt>ClassMultiplicationCoefficient, for character tables <a href="CHAP069.htm#SSEC010.6">69.10.6</a> <dt>ClassNames <a href="CHAP069.htm#SSEC008.10">69.8.10</a> <dt>ClassNamesTom <a href="CHAP068.htm#SSEC007.5">68.7.5</a> <dt>ClassOrbit <a href="CHAP069.htm#SSEC008.16">69.8.16</a> <dt>ClassParameters <a href="CHAP069.htm#SSEC008.11">69.8.11</a> <dt>ClassPermutation <a href="CHAP069.htm#SSEC019.5">69.19.5</a> <dt>ClassPositionsOfAgemo <a href="CHAP069.htm#SSEC008.19">69.8.19</a> <dt>ClassPositionsOfCentre, for character tables <a href="CHAP069.htm#SSEC008.20">69.8.20</a> <dt>ClassPositionsOfCentre, for characters <a href="CHAP070.htm#SSEC008.12">70.8.12</a> <dt>ClassPositionsOfDerivedSubgroup <a href="CHAP069.htm#SSEC008.22">69.8.22</a> <dt>ClassPositionsOfDirectProductDecompositions <a href="CHAP069.htm#SSEC008.21">69.8.21</a> <dt>ClassPositionsOfElementaryAbelianSeries <a href="CHAP069.htm#SSEC008.23">69.8.23</a> <dt>ClassPositionsOfFittingSubgroup <a href="CHAP069.htm#SSEC008.24">69.8.24</a> <dt>ClassPositionsOfKernel <a href="CHAP070.htm#SSEC008.10">70.8.10</a> <dt>ClassPositionsOfLowerCentralSeries <a href="CHAP069.htm#SSEC008.25">69.8.25</a> <dt>ClassPositionsOfMaximalNormalSubgroups <a href="CHAP069.htm#SSEC008.18">69.8.18</a> <dt>ClassPositionsOfMinimalNormalSubgroups <a href="CHAP069.htm#SSEC008.18">69.8.18</a> <dt>ClassPositionsOfNormalClosure <a href="CHAP069.htm#SSEC008.28">69.8.28</a> <dt>ClassPositionsOfNormalSubgroup <a href="CHAP069.htm#SSEC021.2">69.21.2</a> <dt>ClassPositionsOfNormalSubgroups <a href="CHAP069.htm#SSEC008.18">69.8.18</a> <dt>ClassPositionsOfSupersolvableResiduum <a href="CHAP069.htm#SSEC008.27">69.8.27</a> <dt>ClassPositionsOfUpperCentralSeries <a href="CHAP069.htm#SSEC008.26">69.8.26</a> <dt>ClassRoots <a href="CHAP069.htm#SSEC008.17">69.8.17</a> <dt>ClassStructureCharTable <a href="CHAP069.htm#SSEC010.7">69.10.7</a> <dt>ClassTypesTom <a href="CHAP068.htm#SSEC007.4">68.7.4</a> <dt>CleanedTailPcElement <a href="CHAP043.htm#SSEC005.11">43.5.11</a> <dt>ClearCacheStats <a href="CHAP007.htm#SSEC007.12">7.7.12</a> <dt>ClearProfile <a href="CHAP007.htm#SSEC007.10">7.7.10</a> <dt>clone, an object <a href="CHAP012.htm#I3">12.7</a> <dt>CloseMutableBasis <a href="CHAP059.htm#SSEC007.6">59.7.6</a> <dt>CloseStream <a href="CHAP010.htm#SSEC002.1">10.2.1</a> <dt>Closure Operations and Other Constructors <a href="CHAP032.htm#SECT004">32.4</a> <dt>ClosureGroup <a href="CHAP037.htm#SSEC004.1">37.4.1</a> <dt>ClosureGroupAddElm <a href="CHAP037.htm#SSEC004.2">37.4.2</a> <dt>ClosureGroupCompare <a href="CHAP037.htm#SSEC004.2">37.4.2</a> <dt>ClosureGroupDefault <a href="CHAP037.htm#SSEC004.3">37.4.3</a> <dt>ClosureGroupIntest <a href="CHAP037.htm#SSEC004.2">37.4.2</a> <dt>ClosureLeftModule <a href="CHAP055.htm#SSEC002.3">55.2.3</a> <dt>ClosureNearAdditiveGroup <a href="CHAP053.htm#SSEC004.1">53.4.1</a> <dt>ClosureRing <a href="CHAP054.htm#SSEC001.9">54.1.9</a> <dt>Closures of (Sub)groups <a href="CHAP037.htm#SECT004">37.4</a> <dt>ClosureStruct <a href="CHAP030.htm#SSEC003.6">30.3.6</a> <dt>ClosureSubgroup <a href="CHAP037.htm#SSEC004.4">37.4.4</a> <dt>ClosureSubgroupNC <a href="CHAP037.htm#SSEC004.4">37.4.4</a> <dt>Coboundaries <a href="CHAP061.htm#SSEC012.8">61.12.8</a> <dt>Cochain <a href="CHAP061.htm#SSEC012.3">61.12.3</a> <dt>CochainSpace <a href="CHAP061.htm#SSEC012.4">61.12.4</a> <dt>Cocycles <a href="CHAP061.htm#SSEC012.7">61.12.7</a> <dt>cocycles <a href="CHAP037.htm#I11">37.23</a> <dt>CodePcGroup <a href="CHAP044.htm#SSEC009.2">44.9.2</a> <dt>CodePcgs <a href="CHAP044.htm#SSEC009.1">44.9.1</a> <dt>Coding a Pc Presentation <a href="CHAP044.htm#SECT009">44.9</a> <dt>Coefficient List Arithmetic <a href="CHAP023.htm#SECT003">23.3</a> <dt>coefficient, binomial <a href="CHAP017.htm#I0">17.1</a> <dt>Coefficients <a href="CHAP059.htm#SSEC005.3">59.5.3</a> <dt>coefficients, for cyclotomics <a href="CHAP018.htm#I6">18.1</a> <dt>CoefficientsAndMagmaElements <a href="CHAP063.htm#SSEC002.3">63.2.3</a> <dt>CoefficientsFamily <a href="CHAP064.htm#SSEC018.3">64.18.3</a> <dt>CoefficientsMultiadic <a href="CHAP014.htm#SSEC002.8">14.2.8</a> <dt>CoefficientsOfLaurentPolynomial <a href="CHAP064.htm#SSEC012.2">64.12.2</a> <dt>CoefficientsOfUnivariatePolynomial <a href="CHAP064.htm#SSEC004.9">64.4.9</a> <dt>CoefficientsOfUnivariateRationalFunction <a href="CHAP064.htm#SSEC004.7">64.4.7</a> <dt>CoefficientsQadic <a href="CHAP014.htm#SSEC002.7">14.2.7</a> <dt>CoefficientsRing <a href="CHAP064.htm#SSEC014.3">64.14.3</a> <dt>CoeffsCyc <a href="CHAP018.htm#SSEC001.8">18.1.8</a> <dt>CoeffsMod <a href="CHAP023.htm#SSEC003.4">23.3.4</a> <dt>cohomology <a href="CHAP037.htm#I10">37.23</a> <dt>COHORTS_PRIMITIVE_GROUPS <a href="CHAP048.htm#SSEC009.4">48.9.4</a> <dt>CoKernelOfAdditiveGeneralMapping <a href="CHAP031.htm#SSEC009.6">31.9.6</a> <dt>CoKernelOfMultiplicativeGeneralMapping <a href="CHAP031.htm#SSEC008.6">31.8.6</a> <dt>CollapsedMat <a href="CHAP071.htm#SSEC003.16">71.3.16</a> <dt>Collected <a href="CHAP021.htm#SSEC020.3">21.20.3</a> <dt>Collection Families <a href="CHAP028.htm#SECT001">28.1</a> <dt>Collections <a href="CHAP028.htm">28.0</a> <dt>CollectionsFamily <a href="CHAP028.htm#SSEC001.1">28.1.1</a> <dt>Coloring the Prompt and Input <a href="CHAP003.htm#SECT012">3.12</a> <dt>ColorPrompt <a href="CHAP003.htm#SSEC012.1">3.12.1</a> <dt>ColumnIndexOfReesMatrixSemigroupElement <a href="CHAP049.htm#SSEC006.8">49.6.8</a> <dt>ColumnIndexOfReesZeroMatrixSemigroupElement <a href="CHAP049.htm#SSEC006.8">49.6.8</a> <dt>Combinations <a href="CHAP017.htm#SSEC002.1">17.2.1</a> <dt>Combinations, Arrangements and Tuples <a href="CHAP017.htm#SECT002">17.2</a> <dt>Combinatorial Numbers <a href="CHAP017.htm#SECT001">17.1</a> <dt>CombinatorialCollector <a href="CHAP044.htm#SSEC004.2">44.4.2</a> <dt>Combinatorics <a href="CHAP017.htm">17.0</a> <dt>Comm <a href="CHAP030.htm#SSEC012.3">30.12.3</a> <dt>Comm, for words <a href="CHAP035.htm#I4">35.4</a> <dt>Command Line Options <a href="CHAP003.htm#SECT001">3.1</a> <dt>comments <a href="CHAP004.htm#I4">4.4</a> <dt>CommutativeDiagram <a href="CHAP071.htm#SSEC003.9">71.3.9</a> <dt>CommutatorFactorGroup <a href="CHAP037.htm#SSEC018.3">37.18.3</a> <dt>CommutatorLength <a href="CHAP037.htm#SSEC012.4">37.12.4</a> <dt>CommutatorLength, for character tables <a href="CHAP069.htm#I12">69.8</a> <dt>CommutatorSubgroup <a href="CHAP037.htm#SSEC012.2">37.12.2</a> <dt>Compacted <a href="CHAP021.htm#SSEC020.2">21.20.2</a> <dt>CompanionMat <a href="CHAP024.htm#SSEC012.5">24.12.5</a> <dt>CompareVersionNumbers <a href="CHAP074.htm#SSEC003.6">74.3.6</a> <dt>Comparison of Associative Words <a href="CHAP035.htm#SECT003">35.3</a> <dt>Comparison of Class Functions <a href="CHAP070.htm#SECT003">70.3</a> <dt>Comparison of Elements of Finitely Presented Groups <a href="CHAP045.htm#SECT002">45.2</a> <dt>Comparison of Elements of Finitely Presented Semigroups <a href="CHAP051.htm#SECT002">51.2</a> <dt>Comparison of Permutations <a href="CHAP040.htm#SECT001">40.1</a> <dt>Comparison of Rational Functions <a href="CHAP064.htm#SECT003">64.3</a> <dt>Comparison of Words <a href="CHAP034.htm#SECT002">34.2</a> <dt>Comparison Operations for Elements <a href="CHAP030.htm#SECT011">30.11</a> <dt>comparison, fp semigroup elements <a href="CHAP051.htm#SSEC002.1">51.2.1</a> <dt>comparison, operation <a href="CHAP030.htm#SSEC011.1">30.11.1</a> <dt>comparison, rational functions <a href="CHAP064.htm#SSEC003.1">64.3.1</a> <dt>Comparisons <a href="CHAP004.htm#SECT011">4.11</a> <dt>Comparisons of Booleans <a href="CHAP020.htm#SECT002">20.2</a> <dt>Comparisons of Cyclotomics <a href="CHAP018.htm#SECT003">18.3</a> <dt>Comparisons of Lists <a href="CHAP021.htm#SECT010">21.10</a> <dt>Comparisons of Records <a href="CHAP027.htm#SECT004">27.4</a> <dt>Comparisons of Strings <a href="CHAP026.htm#SECT004">26.4</a> <dt>comparisons, of booleans <a href="CHAP020.htm#SSEC002.1">20.2.1</a> <dt>comparisons, of lists <a href="CHAP021.htm#I6">21.10</a> <dt>CompatibleConjugacyClasses <a href="CHAP069.htm#SSEC006.5">69.6.5</a> <dt>CompatiblePairs <a href="CHAP044.htm#SSEC008.8">44.8.8</a> <dt>Compilation <a href="CHAP073.htm#SECT004">73.4</a> <dt>Compiling Library Code <a href="CHAP003.htm#SECT009">3.9</a> <dt>Complementclasses <a href="CHAP037.htm#SSEC011.6">37.11.6</a> <dt>ComplementclassesEA <a href="CHAP037.htm#SSEC023.4">37.23.4</a> <dt>ComplementIntMat <a href="CHAP025.htm#SSEC001.6">25.1.6</a> <dt>ComplementSystem <a href="CHAP037.htm#SSEC013.5">37.13.5</a> <dt>Completion Files <a href="CHAP003.htm#SECT005">3.5</a> <dt>ComplexConjugate <a href="CHAP018.htm#SSEC005.2">18.5.2</a> <dt>ComplexConjugate, for class functions <a href="CHAP070.htm#I12">70.4</a> <dt>ComplexificationQuat <a href="CHAP060.htm#SSEC004.2">60.4.2</a> <dt>Components of a Dixon Record <a href="CHAP069.htm#SECT016">69.16</a> <dt>CompositionMapping <a href="CHAP031.htm#SSEC001.4">31.1.4</a> <dt>CompositionMapping, for Frobenius automorphisms <a href="CHAP057.htm#I5">57.4</a> <dt>CompositionMapping2 <a href="CHAP031.htm#SSEC001.5">31.1.5</a> <dt>CompositionMaps <a href="CHAP071.htm#SSEC003.1">71.3.1</a> <dt>CompositionOfStraightLinePrograms <a href="CHAP035.htm#SSEC008.7">35.8.7</a> <dt>CompositionSeries <a href="CHAP037.htm#SSEC017.5">37.17.5</a> <dt>CompositionSeries, for groups with pcgs <a href="CHAP043.htm#I3">43.16</a> <dt>ComputedBrauerTables <a href="CHAP069.htm#SSEC003.2">69.3.2</a> <dt>ComputedClassFusions <a href="CHAP071.htm#SSEC002.2">71.2.2</a> <dt>ComputedIndicators <a href="CHAP069.htm#SSEC010.4">69.10.4</a> <dt>ComputedIsPSolvableCharacterTables <a href="CHAP069.htm#SSEC010.2">69.10.2</a> <dt>ComputedPowerMaps <a href="CHAP071.htm#SSEC001.1">71.1.1</a> <dt>ComputedPrimeBlockss <a href="CHAP069.htm#SSEC009.1">69.9.1</a> <dt>Computing a Pcgs <a href="CHAP043.htm#SECT002">43.2</a> <dt>Computing a Permutation Representation <a href="CHAP041.htm#SECT002">41.2</a> <dt>Computing Pc Groups <a href="CHAP044.htm#SECT005">44.5</a> <dt>Computing Possible Permutation Characters <a href="CHAP070.htm#SECT014">70.14</a> <dt>Computing the Irreducible Characters of a Group <a href="CHAP069.htm#SECT012">69.12</a> <dt>Concatenation <a href="CHAP021.htm#SSEC020.1">21.20.1</a> <dt>concatenation, of lists <a href="CHAP021.htm#I26">21.20</a> <dt>Conductor <a href="CHAP018.htm#SSEC001.5">18.1.5</a> <dt>ConfluentRws <a href="CHAP036.htm#SSEC001.6">36.1.6</a> <dt>Congruences for semigroups <a href="CHAP049.htm#SECT003">49.3</a> <dt>Congruences, for character tables <a href="CHAP071.htm#SSEC004.2">71.4.2</a> <dt>Conjugacy Classes <a href="CHAP037.htm#SECT010">37.10</a> <dt>Conjugacy Classes in Classical Groups <a href="CHAP048.htm#SECT003">48.3</a> <dt>Conjugacy Classes in Solvable Groups <a href="CHAP043.htm#SECT017">43.17</a> <dt>ConjugacyClass <a href="CHAP037.htm#SSEC010.1">37.10.1</a> <dt>ConjugacyClasses, attribute <a href="CHAP037.htm#SSEC010.2">37.10.2</a> <dt>ConjugacyClasses, for character tables <a href="CHAP069.htm#SSEC006.2">69.6.2</a> <dt>ConjugacyClasses, for groups with pcgs <a href="CHAP043.htm#I4">43.16</a> <dt>ConjugacyClasses, for linear groups <a href="CHAP048.htm#I1">48.3</a> <dt>ConjugacyClassesByOrbits <a href="CHAP037.htm#SSEC010.4">37.10.4</a> <dt>ConjugacyClassesByRandomSearch <a href="CHAP037.htm#SSEC010.3">37.10.3</a> <dt>ConjugacyClassesMaximalSubgroups <a href="CHAP037.htm#SSEC019.4">37.19.4</a> <dt>ConjugacyClassesPerfectSubgroups <a href="CHAP037.htm#SSEC020.6">37.20.6</a> <dt>ConjugacyClassesSubgroups <a href="CHAP037.htm#SSEC019.3">37.19.3</a> <dt>ConjugacyClassSubgroups <a href="CHAP037.htm#SSEC019.1">37.19.1</a> <dt>conjugate, matrix <a href="CHAP024.htm#SSEC002.10">24.2.10</a> <dt>conjugate, of a word <a href="CHAP035.htm#I3">35.4</a> <dt>ConjugateDominantWeight <a href="CHAP061.htm#SSEC007.20">61.7.20</a> <dt>ConjugateDominantWeightWithWord <a href="CHAP061.htm#SSEC007.20">61.7.20</a> <dt>ConjugateGroup <a href="CHAP037.htm#SSEC002.5">37.2.5</a> <dt>Conjugates <a href="CHAP056.htm#SSEC003.6">56.3.6</a> <dt>ConjugateSubgroup <a href="CHAP037.htm#SSEC003.8">37.3.8</a> <dt>ConjugateSubgroups <a href="CHAP037.htm#SSEC003.9">37.3.9</a> <dt>conjugation <a href="CHAP039.htm#I6">39.2</a> <dt>ConjugatorAutomorphism <a href="CHAP038.htm#SSEC006.2">38.6.2</a> <dt>ConjugatorAutomorphismNC <a href="CHAP038.htm#SSEC006.2">38.6.2</a> <dt>ConjugatorIsomorphism <a href="CHAP038.htm#SSEC006.1">38.6.1</a> <dt>ConjugatorOfConjugatorIsomorphism <a href="CHAP038.htm#SSEC006.5">38.6.5</a> <dt>ConnectGroupAndCharacterTable <a href="CHAP069.htm#SSEC006.4">69.6.4</a> <dt>ConsiderKernels <a href="CHAP071.htm#SSEC004.3">71.4.3</a> <dt>ConsiderSmallerPowerMaps <a href="CHAP071.htm#SSEC004.4">71.4.4</a> <dt>ConsiderStructureConstants <a href="CHAP071.htm#SSEC002.9">71.2.9</a> <dt>ConsiderTableAutomorphisms <a href="CHAP071.htm#SSEC005.3">71.5.3</a> <dt>ConstantTimeAccessList <a href="CHAP021.htm#SSEC017.6">21.17.6</a> <dt>constituent, of a group character <a href="CHAP070.htm#I23">70.8</a> <dt>ConstituentsCompositionMapping <a href="CHAP031.htm#SSEC001.7">31.1.7</a> <dt>ConstituentsOfCharacter <a href="CHAP070.htm#SSEC008.8">70.8.8</a> <dt>Constructing Algebras as Free Algebras <a href="CHAP060.htm#SECT002">60.2</a> <dt>Constructing Algebras by Generators <a href="CHAP060.htm#SECT001">60.1</a> <dt>Constructing Algebras by Structure Constants <a href="CHAP060.htm#SECT003">60.3</a> <dt>Constructing Character Tables from Others <a href="CHAP069.htm#SECT018">69.18</a> <dt>Constructing Domains <a href="CHAP030.htm#SECT003">30.3</a> <dt>Constructing Lie algebras <a href="CHAP061.htm#SECT002">61.2</a> <dt>Constructing Pc Groups <a href="CHAP044.htm#SECT004">44.4</a> <dt>Constructing Subdomains <a href="CHAP030.htm#SECT008">30.8</a> <dt>Constructing Tables of Marks <a href="CHAP068.htm#SECT003">68.3</a> <dt>Constructing Vector Spaces <a href="CHAP059.htm#SECT001">59.1</a> <dt>Construction of Abelian Number Fields <a href="CHAP058.htm#SECT001">58.1</a> <dt>Construction of Stabilizer Chains <a href="CHAP041.htm#SECT007">41.7</a> <dt>Constructors for Basic Groups <a href="CHAP048.htm#SECT004">48.4</a> <dt>ContainedCharacters <a href="CHAP071.htm#SSEC003.17">71.3.17</a> <dt>ContainedDecomposables <a href="CHAP071.htm#SSEC003.17">71.3.17</a> <dt>ContainedMaps <a href="CHAP071.htm#SSEC003.6">71.3.6</a> <dt>ContainedPossibleCharacters <a href="CHAP071.htm#SSEC003.15">71.3.15</a> <a href="CHAP071.htm#I11">71.3</a> <dt>ContainedPossibleVirtualCharacters <a href="CHAP071.htm#SSEC003.15">71.3.15</a> <a href="CHAP071.htm#I10">71.3</a> <dt>ContainedSpecialVectors <a href="CHAP071.htm#SSEC003.15">71.3.15</a> <a href="CHAP071.htm#I12">71.3</a> <dt>ContainedTom <a href="CHAP068.htm#SSEC009.5">68.9.5</a> <dt>ContainingTom <a href="CHAP068.htm#SSEC009.6">68.9.6</a> <dt>Continue <a href="CHAP004.htm#SECT021">4.21</a> <dt>continue statement <a href="CHAP004.htm#SSEC021.1">4.21.1</a> <dt>Continued Fractions <a href="CHAP015.htm#SECT005">15.5</a> <dt>ContinuedFractionApproximationOfRoot <a href="CHAP015.htm#SSEC005.2">15.5.2</a> <dt>ContinuedFractionExpansionOfRoot <a href="CHAP015.htm#SSEC005.1">15.5.1</a> <dt>Conventions for Character Tables <a href="CHAP069.htm#SECT005">69.5</a> <dt>convert, to a string <a href="CHAP026.htm#I22">26.2</a> <dt>Converting Groups to Finitely Presented Groups <a href="CHAP045.htm#SECT010">45.10</a> <dt>ConvertToCharacterTable <a href="CHAP069.htm#SSEC003.5">69.3.5</a> <dt>ConvertToCharacterTableNC <a href="CHAP069.htm#SSEC003.5">69.3.5</a> <dt>ConvertToMatrixRep <a href="CHAP024.htm#SSEC013.2">24.13.2</a> <dt>ConvertToMatrixRepNC <a href="CHAP024.htm#SSEC013.2">24.13.2</a> <dt>ConvertToRangeRep <a href="CHAP021.htm#SSEC022.2">21.22.2</a> <dt>ConvertToStringRep <a href="CHAP026.htm#SSEC002.2">26.2.2</a> <dt>ConvertToTableOfMarks <a href="CHAP068.htm#SSEC006.5">68.6.5</a> <dt>ConvertToVectorRep <a href="CHAP023.htm#SSEC002.1">23.2.1</a> <dt>ConvertToVectorRepNC <a href="CHAP023.htm#SSEC002.1">23.2.1</a> <dt>Conway Polynomials <a href="CHAP057.htm#SECT005">57.5</a> <dt>ConwayPolynomial <a href="CHAP057.htm#SSEC005.1">57.5.1</a> <dt>coprime <a href="CHAP004.htm#I26">4.12</a> <dt>Copy <a href="CHAP012.htm#I1">12.7</a> <dt>copy, an object <a href="CHAP012.htm#I2">12.7</a> <dt>COPY_LIST_ENTRIES <a href="CHAP021.htm#SSEC004.6">21.4.6</a> <dt>CopyOptionsDefaults <a href="CHAP041.htm#SSEC010.2">41.10.2</a> <dt>Copyright <a href="CHAP076.htm">76.0</a> <dt>Copyright Notice <a href="CHAP076.htm">76.0</a> <dt>Copyrights <a href="CHAP073.htm#SECT018">73.18</a> <dt>CopyStabChain <a href="CHAP041.htm#SSEC010.1">41.10.1</a> <dt>Core <a href="CHAP037.htm#SSEC011.2">37.11.2</a> <dt>CorrespondingGeneratorsByModuloPcgs <a href="CHAP043.htm#SSEC009.6">43.9.6</a> <dt>coset <a href="CHAP037.htm#I4">37.7</a> <dt>Coset Tables and Coset Enumeration <a href="CHAP045.htm#SECT005">45.5</a> <dt>Coset tables for subgroups in the whole group <a href="CHAP045.htm#SECT007">45.7</a> <dt>CosetLeadersMatFFE <a href="CHAP023.htm#SSEC005.6">23.5.6</a> <dt>Cosets <a href="CHAP037.htm#SECT007">37.7</a> <dt>CosetTable <a href="CHAP045.htm#SSEC005.1">45.5.1</a> <dt>CosetTableBySubgroup <a href="CHAP045.htm#SSEC005.4">45.5.4</a> <dt>CosetTableDefaultLimit <a href="CHAP045.htm#SSEC005.7">45.5.7</a> <dt>CosetTableDefaultMaxLimit <a href="CHAP045.htm#SSEC005.6">45.5.6</a> <dt>CosetTableFromGensAndRels <a href="CHAP045.htm#SSEC005.5">45.5.5</a> <dt>CosetTableInWholeGroup <a href="CHAP045.htm#SSEC007.1">45.7.1</a> <dt>CosetTableOfFpSemigroup <a href="CHAP051.htm#SSEC006.1">51.6.1</a> <dt>CosetTableStandard <a href="CHAP045.htm#SSEC006.1">45.6.1</a> <dt>CRC <a href="CHAP003.htm#I55">3.10</a> <dt>CRC Numbers <a href="CHAP003.htm#SECT010">3.10</a> <dt>CrcFile <a href="CHAP009.htm#SSEC007.11">9.7.11</a> <dt>CrcFile, example <a href="CHAP003.htm#I56">3.10</a> <dt>CreateCompletionFiles <a href="CHAP003.htm#SSEC005.1">3.5.1</a> <dt>CreateCompletionFilesPkg <a href="CHAP075.htm#I15">75.2</a> <dt>Creating Character Tables <a href="CHAP069.htm#SECT003">69.3</a> <dt>Creating Class Functions from Values Lists <a href="CHAP070.htm#SECT006">70.6</a> <dt>Creating Class Functions using Groups <a href="CHAP070.htm#SECT007">70.7</a> <dt>Creating Finite Fields <a href="CHAP057.htm#SECT003">57.3</a> <dt>Creating Finitely Presented Groups <a href="CHAP045.htm#SECT001">45.1</a> <dt>Creating Finitely Presented Semigroups <a href="CHAP051.htm#SECT001">51.1</a> <dt>Creating Group Homomorphisms <a href="CHAP038.htm#SECT001">38.1</a> <dt>Creating Groups <a href="CHAP037.htm#SECT002">37.2</a> <dt>Creating Mappings <a href="CHAP031.htm#SECT001">31.1</a> <dt>Creating Permutations <a href="CHAP040.htm#SECT004">40.4</a> <dt>Creating Presentations <a href="CHAP046.htm#SECT001">46.1</a> <dt>Creation of Algebraic Extensions <a href="CHAP065.htm#SECT001">65.1</a> <dt>Creation of Rational Functions <a href="CHAP064.htm#SECT021">64.21</a> <dt>Credit <a href="CHAP001.htm#SECT002">1.2</a> <dt>CrystGroupDefaultAction <a href="CHAP042.htm#SSEC006.1">42.6.1</a> <dt>Cycle <a href="CHAP039.htm#SSEC008.3">39.8.3</a> <dt>CycleLength <a href="CHAP039.htm#SSEC008.4">39.8.4</a> <dt>CycleLengths <a href="CHAP039.htm#SSEC008.6">39.8.6</a> <dt>Cycles <a href="CHAP039.htm#SSEC008.5">39.8.5</a> <dt>CycleStructureClass <a href="CHAP070.htm#SSEC008.14">70.8.14</a> <dt>CycleStructurePerm <a href="CHAP040.htm#SSEC003.2">40.3.2</a> <dt>CyclicExtensionsTom <a href="CHAP068.htm#SSEC009.7">68.9.7</a> <dt>CyclicGroup <a href="CHAP048.htm#SSEC001.2">48.1.2</a> <dt>cyclotomic field elements <a href="CHAP018.htm#I2">18.0</a> <dt>cyclotomic fields, CanonicalBasis <a href="CHAP058.htm#I6">58.3</a> <dt>Cyclotomic Numbers <a href="CHAP018.htm">18.0</a> <dt>Cyclotomic Polynomials <a href="CHAP064.htm#SECT009">64.9</a> <dt>CyclotomicField <a href="CHAP058.htm#SSEC001.1">58.1.1</a> <dt>CyclotomicPolynomial <a href="CHAP064.htm#SSEC009.1">64.9.1</a> <dt>Cyclotomics <a href="CHAP018.htm#SSEC001.2">18.1.2</a> <dt>cyclotomics, DefaultField <a href="CHAP058.htm#I2">58.2</a> </dl><p> [<a href="../index.htm">Top</a>] [<a href="chapters.htm">Up</a>]<p> <P> <font face="Gill Sans,Helvetica,Arial">GAP 4 manual<br>December 2008 </font></body></html>
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