<html><head><title>The GAP 4 Manual - Full Index S</title></head> <body bgcolor="ffffff"><h1>The GAP 4 Manual - Full Index S</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> <dl> <dt>s_N <a href="ref/CHAP018.htm#I20">R 18.4</a> <dt>SameBlock <a href="ref/CHAP069.htm#SSEC009.2">R 69.9.2</a> <dt>SandwichMatrixOfReesMatrixSemigroup <a href="ref/CHAP049.htm#SSEC006.7">R 49.6.7</a> <dt>SandwichMatrixOfReesZeroMatrixSemigroup <a href="ref/CHAP049.htm#SSEC006.7">R 49.6.7</a> <dt>save <a href="ref/CHAP003.htm#I57">R 3.11</a> <dt>SaveOnExitFile <a href="ref/CHAP006.htm#SSEC008.3">R 6.8.3</a> <dt>SaveWorkspace <a href="ref/CHAP003.htm#SSEC011.1">R 3.11.1</a> <dt>Saving a Pc Group <a href="ref/CHAP044.htm#SECT006">R 44.6</a> <dt>Saving and Loading a Workspace <a href="ref/CHAP003.htm#SECT011">R 3.11</a> <dt>saving on exit <a href="ref/CHAP006.htm#I16">R 6.8</a> <dt>ScalarProduct, for characters <a href="ref/CHAP070.htm#SSEC008.5">R 70.8.5</a> <dt>Schreier <a href="ref/CHAP046.htm#I0">R 46.3</a> <dt>Schreier-Sims, random <a href="ref/CHAP041.htm#I0">R 41.6</a> <dt>SchreierTransversal <a href="new/CHAP004.htm#SSEC002.1">N 4.2.1</a> <dt>SchreierTreeDepth <a href="new/CHAP004.htm#SSEC002.11">N 4.2.11</a> <dt>Schur Covers and Multipliers <a href="ref/CHAP037.htm#SECT024">R 37.24</a> <dt>Schur multiplier <a href="ref/CHAP037.htm#I14">R 37.24</a> <dt>SchurCover <a href="ref/CHAP037.htm#SSEC024.2">R 37.24.2</a> <dt>scope <a href="ref/CHAP004.htm#I7">R 4.8</a> <dt>ScriptFromString <a href="ref/CHAP068.htm#SSEC010.2">R 68.10.2</a> <dt>Searching for Homomorphisms <a href="ref/CHAP038.htm#SECT009">R 38.9</a> <dt>SecHMSM <a href="ref/CHAP026.htm#SSEC008.8">R 26.8.8</a> <dt>secondary subgroup generators <a href="ref/CHAP046.htm#I1">R 46.11</a> <dt>SecondsDMYhms <a href="ref/CHAP026.htm#SSEC008.10">R 26.8.10</a> <dt>SeekPositionStream <a href="ref/CHAP010.htm#SSEC003.10">R 10.3.10</a> <dt>Selecting a Different MeatAxe <a href="ref/CHAP067.htm#SECT003">R 67.3</a> <dt>Selection Functions <a href="ref/CHAP048.htm#SECT005">R 48.5</a> <dt>Semidirect Products <a href="ref/CHAP047.htm#SECT002">R 47.2</a> <dt>SemidirectProduct <a href="ref/CHAP047.htm#SSEC002.1">R 47.2.1</a> <dt>SemiEchelonBasis <a href="ref/CHAP059.htm#SSEC008.8">R 59.8.8</a> <dt>SemiEchelonBasisNC <a href="ref/CHAP059.htm#SSEC008.8">R 59.8.8</a> <dt>SemiEchelonMat <a href="ref/CHAP024.htm#SSEC009.1">R 24.9.1</a> <dt>SemiEchelonMatDestructive <a href="ref/CHAP024.htm#SSEC009.2">R 24.9.2</a> <dt>SemiEchelonMats <a href="ref/CHAP024.htm#SSEC009.4">R 24.9.4</a> <dt>SemiEchelonMatsDestructive <a href="ref/CHAP024.htm#SSEC009.5">R 24.9.5</a> <dt>SemiEchelonMatTransformation <a href="ref/CHAP024.htm#SSEC009.3">R 24.9.3</a> <dt>semigroup <a href="ref/CHAP049.htm#I0">R 49.0</a> <dt>Semigroup <a href="ref/CHAP049.htm#">R 49.0</a> <a href="ref/CHAP049.htm#">R 49.0</a> <dt>SemigroupByGenerators <a href="ref/CHAP049.htm#">R 49.0</a> <dt>SemigroupByMultiplicationTable <a href="ref/CHAP049.htm#">R 49.0</a> <dt>SemigroupIdealByGenerators <a href="ref/CHAP049.htm#SSEC002.1">R 49.2.1</a> <dt>SemigroupOfRewritingSystem <a href="ref/CHAP051.htm#SSEC005.4">R 51.5.4</a> <dt>Semigroups <a href="ref/CHAP049.htm">R 49.0</a> <dt>semiregular <a href="ref/CHAP039.htm#I16">R 39.9</a> <dt>Semisimple Lie Algebras and Root Systems <a href="ref/CHAP061.htm#SECT007">R 61.7</a> <dt>SemiSimpleType <a href="ref/CHAP061.htm#SSEC007.1">R 61.7.1</a> <dt>sequence, Bernoulli <a href="ref/CHAP017.htm#I3">R 17.1</a> <dt>sequence, Fibonacci <a href="ref/CHAP017.htm#I14">R 17.3</a> <dt>sequence, Lucas <a href="ref/CHAP017.htm#I15">R 17.3</a> <dt>Series of Ideals <a href="ref/CHAP061.htm#SECT004">R 61.4</a> <dt>Set <a href="ref/CHAP028.htm#SSEC002.6">R 28.2.6</a> <dt>set difference, of collections <a href="ref/CHAP028.htm#I9">R 28.4</a> <dt>Set Operations via Boolean Lists <a href="ref/CHAP022.htm#SECT002">R 22.2</a> <dt>set stabilizer <a href="ref/CHAP039.htm#I11">R 39.4</a> <dt>SetAssertionLevel <a href="ref/CHAP007.htm#SSEC005.1">R 7.5.1</a> <dt>SetCommutator <a href="ref/CHAP044.htm#SSEC004.4">R 44.4.4</a> <dt>SetConjugate <a href="ref/CHAP044.htm#SSEC004.3">R 44.4.3</a> <dt>SetCrystGroupDefaultAction <a href="ref/CHAP042.htm#SSEC006.2">R 42.6.2</a> <dt>SetElmWPObj <a href="ext/CHAP007.htm#SSEC003.1">E 7.3.1</a> <dt>SetEntrySCTable <a href="ref/CHAP060.htm#SSEC003.2">R 60.3.2</a> <dt>SetFilterObj <a href="prg/CHAP003.htm#SSEC004.2">P 3.4.2</a> <dt>SetGasmanMessageStatus <a href="ref/CHAP007.htm#SSEC011.2">R 7.11.2</a> <dt>SetHashEntry <a href="new/CHAP002.htm#SSEC007.3">N 2.7.3</a> <dt>SetHashEntryAtLastIndex <a href="new/CHAP002.htm#SSEC007.2">N 2.7.2</a> <dt>SetHelpViewer <a href="ref/CHAP002.htm#SSEC003.1">R 2.3.1</a> <dt>SetIndeterminateName <a href="ref/CHAP064.htm#SSEC001.4">R 64.1.4</a> <dt>SetInfoLevel <a href="ref/CHAP007.htm#SSEC004.3">R 7.4.3</a> <dt>SetName <a href="ref/CHAP012.htm#SSEC008.1">R 12.8.1</a> <dt>SetParent <a href="ref/CHAP030.htm#SSEC007.1">R 30.7.1</a> <dt>SetPower <a href="ref/CHAP044.htm#SSEC004.5">R 44.4.5</a> <dt>SetPrintFormattingStatus <a href="ref/CHAP010.htm#SSEC004.8">R 10.4.8</a> <dt>SetRecursionTrapInterval <a href="ref/CHAP007.htm#SSEC010.1">R 7.10.1</a> <dt>SetReducedMultiplication <a href="ref/CHAP045.htm#SSEC002.4">R 45.2.4</a> <dt>Sets <a href="ref/CHAP012.htm#SECT003">R 12.3</a> <dt>sets <a href="ref/CHAP021.htm#I18">R 21.19</a> <dt>Sets <a href="tut/CHAP003.htm#SECT004">T 3.4</a> <dt>Sets of Subgroups <a href="ref/CHAP037.htm#SECT019">R 37.19</a> <dt>Setter <a href="ref/CHAP013.htm#SSEC006.2">R 13.6.2</a> <dt>setter <a href="ref/CHAP013.htm#I1">R 13.6</a> <dt>setter, of an attribute <a href="tut/CHAP008.htm#I1">T 8.1</a> <dt>Setter and Tester for Attributes <a href="ref/CHAP013.htm#SECT006">R 13.6</a> <dt>SetX <a href="ref/CHAP021.htm#SSEC021.2">R 21.21.2</a> <dt>ShallowCopy <a href="ref/CHAP012.htm#SSEC007.1">R 12.7.1</a> <dt>ShallowCopy, for lists <a href="ref/CHAP021.htm#I3">R 21.7</a> <dt>ShallowCopy <a href="tut/CHAP009.htm#I19">T 9.7</a> <dt>ShiftedCoeffs <a href="ref/CHAP023.htm#SSEC006.6">R 23.6.6</a> <dt>ShiftedPadicNumber <a href="ref/CHAP066.htm#SSEC001.4">R 66.1.4</a> <dt>Shifting and Trimming Coefficient Lists <a href="ref/CHAP023.htm#SECT004">R 23.4</a> <dt>short vectors spanning a lattice <a href="ref/CHAP025.htm#I4">R 25.5</a> <a href="ref/CHAP070.htm#I34">R 70.10</a> <dt>ShortestVectors <a href="ref/CHAP025.htm#SSEC006.2">R 25.6.2</a> <dt>ShortLexOrdering <a href="ref/CHAP029.htm#SSEC003.6">R 29.3.6</a> <dt>ShowArgument <a href="ref/CHAP007.htm#SSEC001.2">R 7.1.2</a> <dt>ShowArguments <a href="ref/CHAP007.htm#SSEC001.1">R 7.1.1</a> <dt>ShowDetails <a href="ref/CHAP007.htm#SSEC001.3">R 7.1.3</a> <dt>ShowImpliedFilters <a href="ref/CHAP013.htm#SSEC002.3">R 13.2.3</a> <dt>ShowMethods <a href="ref/CHAP007.htm#SSEC001.4">R 7.1.4</a> <dt>ShowOtherMethods <a href="ref/CHAP007.htm#SSEC001.5">R 7.1.5</a> <dt>ShrinkAllocationPlist <a href="ref/CHAP021.htm#SSEC009.2">R 21.9.2</a> <dt>ShrinkAllocationString <a href="ref/CHAP026.htm#SSEC002.5">R 26.2.5</a> <dt>ShrinkCoeffs <a href="ref/CHAP023.htm#SSEC006.7">R 23.6.7</a> <dt>ShrinkRowVector <a href="ref/CHAP023.htm#SSEC004.3">R 23.4.3</a> <dt>Sift, for chains of subgroups <a href="new/CHAP005.htm#">N 5.0</a> <dt>SiftedPcElement <a href="ref/CHAP043.htm#SSEC005.8">R 43.5.8</a> <dt>SiftedPermutation <a href="ref/CHAP041.htm#SSEC009.11">R 41.9.11</a> <dt>SiftedVector <a href="ref/CHAP059.htm#SSEC008.12">R 59.8.12</a> <dt>SiftOneLevel, for chains of subgroups <a href="new/CHAP005.htm#">N 5.0</a> <dt>SiftOneLevel, for subgroup transversals <a href="new/CHAP004.htm#SSEC001.2">N 4.1.2</a> <dt>Sigma <a href="ref/CHAP015.htm#SSEC004.1">R 15.4.1</a> <dt>sign, of an integer <a href="ref/CHAP014.htm#I1">R 14.1</a> <dt>Sign and Cycle Structure <a href="ref/CHAP040.htm#SECT003">R 40.3</a> <dt>SignInt <a href="ref/CHAP014.htm#SSEC001.7">R 14.1.7</a> <dt>SignPartition <a href="ref/CHAP017.htm#SSEC002.23">R 17.2.23</a> <dt>SignPerm <a href="ref/CHAP040.htm#SSEC003.1">R 40.3.1</a> <dt>SimpleLieAlgebra <a href="ref/CHAP061.htm#SSEC002.6">R 61.2.6</a> <dt>SimpleSystem <a href="ref/CHAP061.htm#SSEC007.11">R 61.7.11</a> <dt>SimplifiedFpGroup <a href="ref/CHAP046.htm#SECT002">R 46.2</a> <a href="ref/CHAP046.htm#SSEC002.1">R 46.2.1</a> <dt>SimplifyPresentation <a href="ref/CHAP046.htm#SSEC007.2">R 46.7.2</a> <dt>SimsNo <a href="ref/CHAP048.htm#SSEC010.2">R 48.10.2</a> <dt>SimultaneousEigenvalues <a href="ref/CHAP024.htm#SSEC013.4">R 24.13.4</a> <dt>SingleCollector <a href="ref/CHAP044.htm#SSEC004.2">R 44.4.2</a> <dt>singlequote character <a href="ref/CHAP026.htm#I10">R 26.1</a> <dt>singlequotes <a href="ref/CHAP026.htm#I2">R 26.0</a> <dt>SINT_CHAR <a href="ref/CHAP026.htm#SSEC006.3">R 26.6.3</a> <dt>Size <a href="ref/CHAP028.htm#SSEC003.6">R 28.3.6</a> <dt>Size, for character tables <a href="ref/CHAP069.htm#I26">R 69.8</a> <dt>Size, for groups with pcgs <a href="ref/CHAP043.htm#I2">R 43.16</a> <dt>size, of a list or collection <a href="ref/CHAP028.htm#I3">R 28.3</a> <dt>SizeBlist <a href="ref/CHAP022.htm#SSEC001.3">R 22.1.3</a> <dt>SizeConsiderFunction <a href="ref/CHAP037.htm#SSEC021.4">R 37.21.4</a> <dt>SizeNumbersPerfectGroups <a href="ref/CHAP048.htm#SSEC008.6">R 48.8.6</a> <dt>SizeOfChainOfGroup <a href="new/CHAP005.htm#">N 5.0</a> <dt>SizeOfFieldOfDefinition <a href="ref/CHAP070.htm#SSEC015.3">R 70.15.3</a> <dt>SizesCentralizers <a href="ref/CHAP069.htm#SSEC008.6">R 69.8.6</a> <dt>SizesConjugacyClasses <a href="ref/CHAP069.htm#SSEC008.7">R 69.8.7</a> <dt>SizeScreen <a href="ref/CHAP006.htm#SECT012">R 6.12</a> <a href="ref/CHAP006.htm#SSEC012.1">R 6.12.1</a> <dt>SizesPerfectGroups <a href="ref/CHAP048.htm#SSEC008.1">R 48.8.1</a> <dt>SizeStabChain <a href="ref/CHAP041.htm#SSEC009.3">R 41.9.3</a> <dt>SL <a href="ref/CHAP048.htm#SSEC002.2">R 48.2.2</a> <dt>Small Groups <a href="ref/CHAP048.htm#SECT007">R 48.7</a> <dt>smaller, associative words <a href="ref/CHAP035.htm#SSEC003.2">R 35.3.2</a> <dt>smaller, elements of finitely presented groups <a href="ref/CHAP045.htm#SSEC002.2">R 45.2.2</a> <dt>smaller, nonassociative words <a href="ref/CHAP034.htm#SSEC002.2">R 34.2.2</a> <dt>smaller, pcwords <a href="ref/CHAP044.htm#SSEC002.1">R 44.2.1</a> <dt>smaller, rational functions <a href="ref/CHAP064.htm#SSEC003.2">R 64.3.2</a> <dt>smaller or equal <a href="ref/CHAP004.htm#SSEC011.2">R 4.11.2</a> <dt>smaller test <a href="ref/CHAP004.htm#SSEC011.2">R 4.11.2</a> <dt>SmallerDegreePermutationRepresentation <a href="ref/CHAP041.htm#SSEC002.2">R 41.2.2</a> <dt>SmallestGeneratorPerm <a href="ref/CHAP040.htm#SSEC001.2">R 40.1.2</a> <dt>SmallestMovedPoint <a href="ref/CHAP040.htm#SSEC002.1">R 40.2.1</a> <dt>SmallestRootInt <a href="ref/CHAP014.htm#SSEC001.10">R 14.1.10</a> <dt>SmallGeneratingSet <a href="ref/CHAP037.htm#SSEC022.4">R 37.22.4</a> <dt>SmallGroup <a href="ref/CHAP048.htm#SSEC007.1">R 48.7.1</a> <dt>SmallGroupsInformation <a href="ref/CHAP048.htm#SSEC007.8">R 48.7.8</a> <dt>Smash MeatAxe Flags <a href="ref/CHAP067.htm#SECT011">R 67.11</a> <dt>Smith normal form <a href="ref/CHAP075.htm#I16">R 75.3</a> <dt>SmithNormalFormIntegerMat <a href="ref/CHAP025.htm#SSEC002.6">R 25.2.6</a> <dt>SmithNormalFormIntegerMatTransforms <a href="ref/CHAP025.htm#SSEC002.7">R 25.2.7</a> <dt>SMTX.AbsoluteIrreducibilityTest <a href="ref/CHAP067.htm#SSEC010.8">R 67.10.8</a> <dt>SMTX.AlgEl <a href="ref/CHAP067.htm#SSEC011.2">R 67.11.2</a> <dt>SMTX.AlgElCharPol <a href="ref/CHAP067.htm#SSEC011.4">R 67.11.4</a> <dt>SMTX.AlgElCharPolFac <a href="ref/CHAP067.htm#SSEC011.5">R 67.11.5</a> <dt>SMTX.AlgElMat <a href="ref/CHAP067.htm#SSEC011.3">R 67.11.3</a> <dt>SMTX.AlgElNullspaceDimension <a href="ref/CHAP067.htm#SSEC011.7">R 67.11.7</a> <dt>SMTX.AlgElNullspaceVec <a href="ref/CHAP067.htm#SSEC011.6">R 67.11.6</a> <dt>SMTX.CentMat <a href="ref/CHAP067.htm#SSEC011.8">R 67.11.8</a> <dt>SMTX.CentMatMinPoly <a href="ref/CHAP067.htm#SSEC011.9">R 67.11.9</a> <dt>SMTX.CompleteBasis <a href="ref/CHAP067.htm#SSEC010.11">R 67.10.11</a> <dt>SMTX.Getter <a href="ref/CHAP067.htm#SSEC010.6">R 67.10.6</a> <dt>SMTX.GoodElementGModule <a href="ref/CHAP067.htm#SSEC010.2">R 67.10.2</a> <dt>SMTX.IrreducibilityTest <a href="ref/CHAP067.htm#SSEC010.7">R 67.10.7</a> <dt>SMTX.MatrixSum <a href="ref/CHAP067.htm#SSEC010.10">R 67.10.10</a> <dt>SMTX.MinimalSubGModule <a href="ref/CHAP067.htm#SSEC010.9">R 67.10.9</a> <dt>SMTX.MinimalSubGModules <a href="ref/CHAP067.htm#SSEC010.4">R 67.10.4</a> <dt>SMTX.RandomIrreducibleSubGModule <a href="ref/CHAP067.htm#SSEC010.1">R 67.10.1</a> <dt>SMTX.Setter <a href="ref/CHAP067.htm#SSEC010.5">R 67.10.5</a> <dt>SMTX.SortHomGModule <a href="ref/CHAP067.htm#SSEC010.3">R 67.10.3</a> <dt>SMTX.Subbasis <a href="ref/CHAP067.htm#SSEC011.1">R 67.11.1</a> <dt>SO <a href="ref/CHAP048.htm#SSEC002.7">R 48.2.7</a> <dt>Socle <a href="ref/CHAP037.htm#SSEC012.10">R 37.12.10</a> <dt>SocleTypePrimitiveGroup <a href="ref/CHAP041.htm#SSEC004.2">R 41.4.2</a> <dt>SolutionIntMat <a href="ref/CHAP025.htm#SSEC001.2">R 25.1.2</a> <dt>SolutionMat <a href="ref/CHAP024.htm#SSEC006.5">R 24.6.5</a> <dt>SolutionMatDestructive <a href="ref/CHAP024.htm#SSEC006.6">R 24.6.6</a> <dt>SolutionNullspaceIntMat <a href="ref/CHAP025.htm#SSEC001.3">R 25.1.3</a> <dt>Some Remarks about Character Theory in GAP <a href="ref/CHAP069.htm#SECT001">R 69.1</a> <dt>Some Special Algebras <a href="ref/CHAP060.htm#SECT004">R 60.4</a> <dt>Something <a href="tut/CHAP007.htm#I1">T 7.4</a> <dt>Sort <a href="ref/CHAP021.htm#SSEC018.1">R 21.18.1</a> <dt>Sorted Character Tables <a href="ref/CHAP069.htm#SECT019">R 69.19</a> <dt>sorted list <a href="ref/CHAP021.htm#I16">R 21.17</a> <dt>Sorted Lists and Sets <a href="ref/CHAP021.htm#SECT019">R 21.19</a> <dt>Sorted Lists as Collections <a href="ref/CHAP028.htm#I0">R 28.2</a> <dt>SortedCharacters <a href="ref/CHAP069.htm#SSEC019.2">R 69.19.2</a> <dt>SortedCharacterTable <a href="ref/CHAP069.htm#SSEC019.4">R 69.19.4</a> <dt>SortedList <a href="ref/CHAP028.htm#SSEC002.5">R 28.2.5</a> <dt>SortedSparseActionHomomorphism <a href="ref/CHAP039.htm#SSEC006.3">R 39.6.3</a> <dt>SortedTom <a href="ref/CHAP068.htm#SSEC005.1">R 68.5.1</a> <dt>Sortex <a href="ref/CHAP021.htm#SSEC018.3">R 21.18.3</a> <dt>Sorting Lists <a href="ref/CHAP021.htm#SECT018">R 21.18</a> <dt>Sorting Tables of Marks <a href="ref/CHAP068.htm#SECT005">R 68.5</a> <dt>SortingPerm <a href="ref/CHAP021.htm#SSEC018.4">R 21.18.4</a> <dt>SortParallel <a href="ref/CHAP021.htm#SSEC018.2">R 21.18.2</a> <dt>Source <a href="ref/CHAP031.htm#SSEC002.8">R 31.2.8</a> <dt>Source <a href="new/CHAP003.htm#SSEC002.5">N 3.2.5</a> <dt>SourceElt <a href="new/CHAP003.htm#SSEC002.2">N 3.2.2</a> <dt>SourceOfIsoclinicTable <a href="ref/CHAP069.htm#SSEC018.5">R 69.18.5</a> <dt>SP <a href="ref/CHAP048.htm#SSEC002.5">R 48.2.5</a> <dt>Sp <a href="ref/CHAP048.htm#SSEC002.5">R 48.2.5</a> <dt>space <a href="ref/CHAP004.htm#I0">R 4.4</a> <dt>Sparse hash tables <a href="new/CHAP002.htm#SECT006">N 2.6</a> <dt>SparseActionHomomorphism <a href="ref/CHAP039.htm#SSEC006.3">R 39.6.3</a> <dt>SparseCartanMatrix <a href="ref/CHAP061.htm#SSEC007.16">R 61.7.16</a> <dt>SparseHashTable <a href="new/CHAP002.htm#SSEC006.1">N 2.6.1</a> <dt>SparseIntKey <a href="new/CHAP002.htm#SSEC004.3">N 2.4.3</a> <dt>special character sequences <a href="ref/CHAP026.htm#I4">R 26.1</a> <dt>Special Characters <a href="ref/CHAP026.htm#SECT001">R 26.1</a> <dt>Special Filenames <a href="ref/CHAP009.htm#SECT005">R 9.5</a> <dt>Special Generating Sets <a href="ref/CHAP037.htm#SECT022">R 37.22</a> <dt>Special Multiplication Algorithms for Matrices over GF(2) <a href="ref/CHAP024.htm#SECT014">R 24.14</a> <dt>Special Pcgs <a href="ref/CHAP043.htm#SECT013">R 43.13</a> <dt>Special Rules for Input Lines <a href="ref/CHAP006.htm#SECT002">R 6.2</a> <dt>SpecialLinearGroup <a href="ref/CHAP048.htm#SSEC002.2">R 48.2.2</a> <dt>SpecialOrthogonalGroup <a href="ref/CHAP048.htm#SSEC002.7">R 48.2.7</a> <dt>SpecialPcgs, attribute <a href="ref/CHAP043.htm#SSEC013.2">R 43.13.2</a> <dt>SpecialUnitaryGroup <a href="ref/CHAP048.htm#SSEC002.4">R 48.2.4</a> <dt>Specific and Parametrized Subgroups <a href="ref/CHAP037.htm#SECT012">R 37.12</a> <dt>Specific Methods for Subgroup Lattice Computations <a href="ref/CHAP037.htm#SECT021">R 37.21</a> <dt>SplitCharacters <a href="ref/CHAP069.htm#SSEC015.7">R 69.15.7</a> <dt>SplitExtension <a href="ref/CHAP044.htm#SSEC008.6">R 44.8.6</a> <dt>SplitExtensions <a href="ref/CHAP044.htm#SSEC008.10">R 44.8.10</a> <dt>SplitString <a href="ref/CHAP026.htm#SSEC005.6">R 26.5.6</a> <dt>SplittingField <a href="ref/CHAP064.htm#SSEC004.13">R 64.4.13</a> <dt>Sqrt <a href="ref/CHAP030.htm#SSEC012.5">R 30.12.5</a> <dt>square root, of an integer <a href="ref/CHAP014.htm#I3">R 14.1</a> <dt>SquareRoots <a href="ref/CHAP033.htm#SSEC004.13">R 33.4.13</a> <dt>SSortedList <a href="ref/CHAP028.htm#SSEC002.6">R 28.2.6</a> <dt>StabChain <a href="ref/CHAP041.htm#SSEC007.1">R 41.7.1</a> <dt>StabChainBaseStrongGenerators <a href="ref/CHAP041.htm#SSEC007.4">R 41.7.4</a> <dt>StabChainImmutable <a href="ref/CHAP041.htm#SSEC007.1">R 41.7.1</a> <dt>StabChainMutable <a href="ref/CHAP041.htm#SSEC007.1">R 41.7.1</a> <dt>StabChainOp <a href="ref/CHAP041.htm#SSEC007.1">R 41.7.1</a> <dt>StabChainOptions <a href="ref/CHAP041.htm#SSEC007.2">R 41.7.2</a> <dt>Stabiliser chain subgroups <a href="new/CHAP005.htm#SECT001">N 5.1</a> <dt>Stabilizer <a href="ref/CHAP039.htm#SSEC004.2">R 39.4.2</a> <dt>Stabilizer Chain Records <a href="ref/CHAP041.htm#SECT008">R 41.8</a> <dt>Stabilizer Chains <a href="ref/CHAP041.htm#SECT005">R 41.5</a> <dt>Stabilizer Chains <a href="ext/CHAP008.htm">E 8.0</a> <dt>Stabilizer Chains for Automorphisms Acting on Enumerators <a href="ext/CHAP008.htm#SECT003">E 8.3</a> <dt>StabilizerOfExternalSet <a href="ref/CHAP039.htm#SSEC011.10">R 39.11.10</a> <dt>StabilizerPcgs <a href="ref/CHAP043.htm#SSEC015.1">R 43.15.1</a> <dt>Stabilizers <a href="ref/CHAP039.htm#SECT004">R 39.4</a> <dt>Standalone Programs in a GAP Package <a href="ext/CHAP004.htm#SECT008">E 4.8</a> <dt>Standard Generators of Groups <a href="ref/CHAP068.htm#SECT010">R 68.10</a> <dt>StandardAssociate <a href="ref/CHAP054.htm#SSEC005.5">R 54.5.5</a> <dt>StandardGeneratorsFunctions <a href="ref/CHAP068.htm#SSEC010.3">R 68.10.3</a> <dt>StandardGeneratorsInfo, for groups <a href="ref/CHAP068.htm#SSEC010.1">R 68.10.1</a> <dt>StandardGeneratorsInfo, for tables of marks <a href="ref/CHAP068.htm#SSEC011.5">R 68.11.5</a> <dt>StandardGeneratorsOfGroup <a href="ref/CHAP068.htm#SSEC010.5">R 68.10.5</a> <dt>Standardization of coset tables <a href="ref/CHAP045.htm#SECT006">R 45.6</a> <dt>StandardizeTable <a href="ref/CHAP045.htm#SSEC006.2">R 45.6.2</a> <dt>StarCyc <a href="ref/CHAP018.htm#SSEC005.3">R 18.5.3</a> <dt>Starting and Leaving GAP <a href="tut/CHAP002.htm#SECT001">T 2.1</a> <dt>starting GAP <a href="tut/CHAP002.htm#I0">T 2.1</a> <dt>State <a href="ref/CHAP014.htm#SSEC005.3">R 14.5.3</a> <dt>Statements <a href="ref/CHAP004.htm#SECT013">R 4.13</a> <dt>StateRandom <a href="ref/CHAP028.htm#SSEC006.2">R 28.6.2</a> <dt>Stirling number of the first kind <a href="ref/CHAP017.htm#I4">R 17.1</a> <dt>Stirling number of the second kind <a href="ref/CHAP017.htm#I6">R 17.1</a> <dt>Stirling1 <a href="ref/CHAP017.htm#SSEC001.5">R 17.1.5</a> <dt>Stirling2 <a href="ref/CHAP017.htm#SSEC001.6">R 17.1.6</a> <dt>StoredGroebnerBasis <a href="ref/CHAP064.htm#SSEC017.3">R 64.17.3</a> <dt>StoreFusion <a href="ref/CHAP071.htm#SSEC002.4">R 71.2.4</a> <dt>Storing Normal Subgroup Information <a href="ref/CHAP069.htm#SECT021">R 69.21</a> <dt>Straight Line Program Elements <a href="ref/CHAP035.htm#SECT009">R 35.9</a> <dt>Straight Line Programs <a href="ref/CHAP035.htm#SECT008">R 35.8</a> <dt>StraightLineProgElm <a href="ref/CHAP035.htm#SSEC009.2">R 35.9.2</a> <dt>StraightLineProgGens <a href="ref/CHAP035.htm#SSEC009.3">R 35.9.3</a> <dt>StraightLineProgram <a href="ref/CHAP035.htm#SSEC008.2">R 35.8.2</a> <dt>StraightLineProgramNC <a href="ref/CHAP035.htm#SSEC008.2">R 35.8.2</a> <dt>StraightLineProgramsTom <a href="ref/CHAP068.htm#SSEC011.2">R 68.11.2</a> <dt>StratMeetPartition <a href="ext/CHAP008.htm#SSEC002.1">E 8.2.1</a> <dt>Streams <a href="ref/CHAP010.htm">R 10.0</a> <dt>StreamsFamily <a href="ref/CHAP010.htm#SSEC001.9">R 10.1.9</a> <dt>StretchImportantSLPElement <a href="ref/CHAP035.htm#SSEC009.5">R 35.9.5</a> <dt>strictly sorted list <a href="ref/CHAP021.htm#I17">R 21.17</a> <dt>String <a href="ref/CHAP026.htm#SSEC005.1">R 26.5.1</a> <dt>String, for cyclotomics <a href="ref/CHAP018.htm#I5">R 18.1</a> <dt>String Streams <a href="ref/CHAP010.htm#SECT007">R 10.7</a> <dt>StringDate <a href="ref/CHAP026.htm#SSEC008.6">R 26.8.6</a> <dt>StringOfResultOfStraightLineProgram <a href="ref/CHAP035.htm#SSEC008.6">R 35.8.6</a> <dt>StringPP <a href="ref/CHAP026.htm#SSEC005.3">R 26.5.3</a> <dt>strings, equality of <a href="ref/CHAP026.htm#SSEC004.1">R 26.4.1</a> <dt>strings, inequality of <a href="ref/CHAP026.htm#SSEC004.1">R 26.4.1</a> <dt>strings, lexicographic ordering of <a href="ref/CHAP026.htm#SSEC004.2">R 26.4.2</a> <dt>strings <a href="tut/CHAP003.htm#I1">T 3.1</a> <dt>Strings and Characters <a href="ref/CHAP026.htm">R 26.0</a> <dt>StringTime <a href="ref/CHAP026.htm#SSEC008.9">R 26.8.9</a> <dt>StrongGeneratorsStabChain <a href="ref/CHAP041.htm#SSEC009.4">R 41.9.4</a> <dt>StrongGens <a href="new/CHAP005.htm#SSEC001.3">N 5.1.3</a> <dt>StronglyConnectedComponents <a href="ref/CHAP032.htm#SSEC004.5">R 32.4.5</a> <dt>Struct <a href="ref/CHAP030.htm#SSEC003.1">R 30.3.1</a> <dt>StructByGenerators <a href="ref/CHAP030.htm#SSEC003.4">R 30.3.4</a> <dt>StructuralCopy <a href="ref/CHAP012.htm#SSEC007.2">R 12.7.2</a> <dt>StructuralCopy, for lists <a href="ref/CHAP021.htm#I4">R 21.7</a> <dt>StructuralCopy <a href="tut/CHAP009.htm#I18">T 9.7</a> <dt>structure constant <a href="ref/CHAP069.htm#I30">R 69.10</a> <dt>Structure Descriptions <a href="ref/CHAP037.htm#SECT006">R 37.6</a> <dt>StructureConstantsTable <a href="ref/CHAP059.htm#SSEC006.4">R 59.6.4</a> <dt>StructureDescription <a href="ref/CHAP037.htm#SSEC006.1">R 37.6.1</a> <dt>StructWithGenerators <a href="ref/CHAP030.htm#SSEC003.5">R 30.3.5</a> <dt>SU <a href="ref/CHAP048.htm#SSEC002.4">R 48.2.4</a> <dt>Subalgebra <a href="ref/CHAP060.htm#SSEC005.1">R 60.5.1</a> <dt>SubAlgebraModule <a href="ref/CHAP060.htm#SSEC010.16">R 60.10.16</a> <dt>SubalgebraNC <a href="ref/CHAP060.htm#SSEC005.2">R 60.5.2</a> <dt>Subalgebras <a href="ref/CHAP060.htm#SECT005">R 60.5</a> <dt>SubalgebraWithOne <a href="ref/CHAP060.htm#SSEC005.3">R 60.5.3</a> <dt>SubalgebraWithOneNC <a href="ref/CHAP060.htm#SSEC005.4">R 60.5.4</a> <dt>Subdirect Products <a href="ref/CHAP047.htm#SECT003">R 47.3</a> <dt>SubdirectProduct <a href="ref/CHAP047.htm#SSEC003.1">R 47.3.1</a> <dt>SubdirectProducts <a href="ref/CHAP047.htm#SSEC003.2">R 47.3.2</a> <dt>Subdomains <a href="ref/CHAP030.htm#I0">R 30.8</a> <dt>Subdomains <a href="tut/CHAP007.htm#SECT007">T 7.7</a> <dt>Subfield <a href="ref/CHAP056.htm#SSEC002.1">R 56.2.1</a> <dt>SubfieldNC <a href="ref/CHAP056.htm#SSEC002.1">R 56.2.1</a> <dt>Subfields <a href="ref/CHAP056.htm#SSEC002.10">R 56.2.10</a> <dt>Subfields of Fields <a href="ref/CHAP056.htm#SECT002">R 56.2</a> <dt>Subgroup <a href="ref/CHAP037.htm#SSEC003.1">R 37.3.1</a> <dt>subgroup fusions <a href="ref/CHAP071.htm#I4">R 71.2</a> <dt>subgroup generators tree <a href="ref/CHAP046.htm#I3">R 46.11</a> <dt>Subgroup Lattice <a href="ref/CHAP037.htm#SECT020">R 37.20</a> <dt>Subgroup Presentations <a href="ref/CHAP046.htm#SECT003">R 46.3</a> <dt>Subgroup Series <a href="ref/CHAP037.htm#SECT017">R 37.17</a> <dt>SubgroupByPcgs <a href="ref/CHAP043.htm#SSEC007.9">R 43.7.9</a> <dt>SubgroupByProperty <a href="ref/CHAP037.htm#SSEC003.11">R 37.3.11</a> <dt>SubgroupNC <a href="ref/CHAP037.htm#SSEC003.1">R 37.3.1</a> <dt>SubgroupOfWholeGroupByCosetTable <a href="ref/CHAP045.htm#SSEC007.2">R 45.7.2</a> <dt>SubgroupOfWholeGroupByQuotientSubgroup <a href="ref/CHAP045.htm#SSEC012.1">R 45.12.1</a> <dt>SubgroupProperty <a href="ref/CHAP041.htm#SSEC011.1">R 41.11.1</a> <dt>Subgroups <a href="ref/CHAP037.htm#SECT003">R 37.3</a> <dt>subgroups, polyhedral <a href="ref/CHAP069.htm#I28">R 69.10</a> <dt>Subgroups, as Stabilizers <a href="tut/CHAP005.htm#SECT003">T 5.3</a> <dt>Subgroups characterized by prime powers <a href="ref/CHAP037.htm#SECT014">R 37.14</a> <dt>Subgroups of Polycyclic Groups - Canonical Pcgs <a href="ref/CHAP043.htm#SECT008">R 43.8</a> <dt>Subgroups of Polycyclic Groups - Induced Pcgs <a href="ref/CHAP043.htm#SECT007">R 43.7</a> <dt>SubgroupShell <a href="ref/CHAP037.htm#SSEC003.12">R 37.3.12</a> <dt>SubgroupsSolvableGroup <a href="ref/CHAP037.htm#SSEC021.3">R 37.21.3</a> <dt>sublist <a href="ref/CHAP021.htm#I1">R 21.3</a> <dt>sublist, access <a href="ref/CHAP021.htm#SSEC003.2">R 21.3.2</a> <dt>sublist, assignment <a href="ref/CHAP021.htm#SSEC004.2">R 21.4.2</a> <dt>sublist, operation <a href="ref/CHAP021.htm#SSEC003.3">R 21.3.3</a> <dt>sublist assignment, operation <a href="ref/CHAP021.htm#SSEC004.3">R 21.4.3</a> <dt>Submagma <a href="ref/CHAP033.htm#SSEC002.7">R 33.2.7</a> <dt>SubmagmaNC <a href="ref/CHAP033.htm#SSEC002.7">R 33.2.7</a> <dt>SubmagmaWithInverses <a href="ref/CHAP033.htm#SSEC002.9">R 33.2.9</a> <dt>SubmagmaWithInversesNC <a href="ref/CHAP033.htm#SSEC002.9">R 33.2.9</a> <dt>SubmagmaWithOne <a href="ref/CHAP033.htm#SSEC002.8">R 33.2.8</a> <dt>SubmagmaWithOneNC <a href="ref/CHAP033.htm#SSEC002.8">R 33.2.8</a> <dt>Submodule <a href="ref/CHAP055.htm#SSEC002.1">R 55.2.1</a> <dt>SubmoduleNC <a href="ref/CHAP055.htm#SSEC002.2">R 55.2.2</a> <dt>Submodules <a href="ref/CHAP055.htm#SECT002">R 55.2</a> <dt>Submonoid <a href="ref/CHAP050.htm#">R 50.0</a> <dt>SubmonoidNC <a href="ref/CHAP050.htm#">R 50.0</a> <dt>SubnearAdditiveGroup <a href="ref/CHAP053.htm#SSEC002.9">R 53.2.9</a> <dt>SubnearAdditiveGroupNC <a href="ref/CHAP053.htm#SSEC002.9">R 53.2.9</a> <dt>SubnearAdditiveMagma <a href="ref/CHAP053.htm#SSEC002.7">R 53.2.7</a> <dt>SubnearAdditiveMagmaNC <a href="ref/CHAP053.htm#SSEC002.7">R 53.2.7</a> <dt>SubnearAdditiveMagmaWithZero <a href="ref/CHAP053.htm#SSEC002.8">R 53.2.8</a> <dt>SubnearAdditiveMagmaWithZeroNC <a href="ref/CHAP053.htm#SSEC002.8">R 53.2.8</a> <dt>SubnormalSeries <a href="ref/CHAP037.htm#SSEC017.4">R 37.17.4</a> <dt>Subring <a href="ref/CHAP054.htm#SSEC001.8">R 54.1.8</a> <dt>SubringNC <a href="ref/CHAP054.htm#SSEC001.8">R 54.1.8</a> <dt>SubringWithOne <a href="ref/CHAP054.htm#SSEC003.5">R 54.3.5</a> <dt>SubringWithOneNC <a href="ref/CHAP054.htm#SSEC003.5">R 54.3.5</a> <dt>Subroutines for the Construction of Class Fusions <a href="ref/CHAP071.htm#SECT005">R 71.5</a> <dt>Subroutines for the Construction of Power Maps <a href="ref/CHAP071.htm#SECT004">R 71.4</a> <dt>subsection mark-up <a href="ext/CHAP002.htm#I38">E 2.5</a> <dt>Subsemigroup <a href="ref/CHAP049.htm#">R 49.0</a> <dt>SubsemigroupNC <a href="ref/CHAP049.htm#">R 49.0</a> <dt>subset test, for collections <a href="ref/CHAP028.htm#I6">R 28.4</a> <dt>subsets <a href="ref/CHAP017.htm#I9">R 17.2</a> <dt>Subsomething <a href="tut/CHAP007.htm#I4">T 7.7</a> <dt>SubsomethingNC <a href="tut/CHAP007.htm#I5">T 7.7</a> <dt>Subspace <a href="ref/CHAP059.htm#SSEC001.2">R 59.1.2</a> <dt>SubspaceNC <a href="ref/CHAP059.htm#SSEC001.2">R 59.1.2</a> <dt>Subspaces <a href="ref/CHAP059.htm#SSEC003.1">R 59.3.1</a> <dt>SubstitutedWord <a href="ref/CHAP035.htm#SSEC004.5">R 35.4.5</a> <dt>SubsTom <a href="ref/CHAP068.htm#SSEC007.1">R 68.7.1</a> <dt>Substruct <a href="ref/CHAP030.htm#SSEC008.1">R 30.8.1</a> <dt>SubstructNC <a href="ref/CHAP030.htm#SSEC008.2">R 30.8.2</a> <dt>SubSyllables <a href="ref/CHAP035.htm#SSEC005.4">R 35.5.4</a> <dt>subtract, a set from another <a href="ref/CHAP021.htm#I25">R 21.19</a> <dt>SubtractBlist <a href="ref/CHAP022.htm#SSEC003.4">R 22.3.4</a> <dt>subtraction <a href="ref/CHAP004.htm#SSEC012.1">R 4.12.1</a> <dt>subtraction, matrices <a href="ref/CHAP024.htm#SSEC002.3">R 24.2.3</a> <dt>subtraction, matrix and scalar <a href="ref/CHAP024.htm#SSEC002.3">R 24.2.3</a> <dt>subtraction, rational functions <a href="ref/CHAP064.htm#SSEC002.1">R 64.2.1</a> <dt>subtraction, scalar and matrix <a href="ref/CHAP024.htm#SSEC002.3">R 24.2.3</a> <dt>subtraction, scalar and matrix list <a href="ref/CHAP024.htm#SSEC002.12">R 24.2.12</a> <dt>subtraction, scalar and vector <a href="ref/CHAP023.htm#SSEC001.3">R 23.1.3</a> <dt>subtraction, vector and scalar <a href="ref/CHAP023.htm#SSEC001.3">R 23.1.3</a> <dt>subtraction, vectors <a href="ref/CHAP023.htm#SSEC001.3">R 23.1.3</a> <dt>SubtractSet <a href="ref/CHAP021.htm#SSEC019.8">R 21.19.8</a> <dt>Subword <a href="ref/CHAP035.htm#SSEC004.3">R 35.4.3</a> <dt>Successors <a href="ref/CHAP032.htm#SSEC002.9">R 32.2.9</a> <dt>Suitability for Compilation <a href="ref/CHAP003.htm#SECT008">R 3.8</a> <dt>Sum <a href="ref/CHAP021.htm#SSEC020.24">R 21.20.24</a> <dt>Sum and Intersection of Pcgs <a href="ref/CHAP043.htm#SECT012">R 43.12</a> <dt>SumFactorizationFunctionPcgs <a href="ref/CHAP043.htm#SSEC012.1">R 43.12.1</a> <dt>SumIntersectionMat <a href="ref/CHAP024.htm#SSEC010.4">R 24.10.4</a> <dt>SumX <a href="ref/CHAP021.htm#SSEC021.3">R 21.21.3</a> <dt>SupersolvableResiduum <a href="ref/CHAP037.htm#SSEC012.11">R 37.12.11</a> <dt>support, email address <a href="ref/CHAP073.htm#I4">R 73.9</a> <dt>support, email address <a href="tut/CHAP001.htm#I2">T 1.5</a> <dt>SupportedCharacterTableInfo <a href="ref/CHAP069.htm#SSEC003.4">R 69.3.4</a> <dt>Suppressing Indexing and Labelling of a Section and Resolving Label Clashes <a href="ext/CHAP002.htm#SECT003">E 2.3</a> <dt>SurjectiveActionHomomorphismAttr <a href="ref/CHAP039.htm#SSEC011.17">R 39.11.17</a> <dt>SuzukiGroup <a href="ref/CHAP048.htm#SSEC001.10">R 48.1.10</a> <dt>Sylow Subgroups and Hall Subgroups <a href="ref/CHAP037.htm#SECT013">R 37.13</a> <dt>SylowComplement <a href="ref/CHAP037.htm#SSEC013.2">R 37.13.2</a> <dt>SylowSubgroup <a href="ref/CHAP037.htm#SSEC013.1">R 37.13.1</a> <dt>SylowSystem <a href="ref/CHAP037.htm#SSEC013.4">R 37.13.4</a> <dt>Symbols <a href="ref/CHAP004.htm#SECT003">R 4.3</a> <dt>Symmetric and Alternating Groups <a href="ref/CHAP041.htm#SECT003">R 41.3</a> <dt>symmetric group, powermap <a href="ref/CHAP017.htm#I13">R 17.2</a> <dt>symmetric relation <a href="ref/CHAP032.htm#I4">R 32.2</a> <dt>SymmetricClosureBinaryRelation <a href="ref/CHAP032.htm#SSEC004.2">R 32.4.2</a> <dt>SymmetricGroup <a href="ref/CHAP048.htm#SSEC001.8">R 48.1.8</a> <dt>SymmetricParentGroup <a href="ref/CHAP041.htm#SSEC003.5">R 41.3.5</a> <dt>SymmetricParts <a href="ref/CHAP070.htm#SSEC011.2">R 70.11.2</a> <dt>SymmetricPowerOfAlgebraModule <a href="ref/CHAP061.htm#SSEC014.3">R 61.14.3</a> <dt>Symmetrizations <a href="ref/CHAP070.htm#SSEC011.1">R 70.11.1</a> <dt>symmetrizations, orthogonal <a href="ref/CHAP070.htm#I37">R 70.11</a> <dt>symmetrizations, symplectic <a href="ref/CHAP070.htm#I40">R 70.11</a> <dt>Symmetrizations of Class Functions <a href="ref/CHAP070.htm#SECT011">R 70.11</a> <dt>SymplecticComponents <a href="ref/CHAP070.htm#SSEC011.5">R 70.11.5</a> <dt>SymplecticGroup <a href="ref/CHAP048.htm#SSEC002.5">R 48.2.5</a> <dt>syntax errors <a href="ref/CHAP006.htm#I4">R 6.1</a> <dt>Sz <a href="ref/CHAP048.htm#SSEC001.10">R 48.1.10</a> </dl><p> [<a href="../index.html">Top</a>] [<a href="chapters.htm">Up</a>] <p><P> <address>GAP 4 manual<br></address> </body></html>
