The GAP 4 Reference Manual - Index S

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SameBlock 67.8
SandwichMatrixOfReesMatrixSemigroup 48.6
SandwichMatrixOfReesZeroMatrixSemigroup 48.6
save 3.9
SaveOnExitFile 6.7
SaveWorkspace 3.9
saving on exit 6.7
scalar from matrix, subtraction 24.2
scalar product 23.1
scalar product, matrix 24.2
scalar to matrix, addition 24.2
scalar, addition 23.1
scalar, multiplication 23.1
scalar, subtraction 23.1
ScalarProduct.ctblfuns 68.8
ScanMOC 67.20
Schreier 45.3
Schreier-Sims, Random 40.6
scope 4.8
ScriptFromString 66.10
SecHMSM 26.6
secondary subgroup generators 45.11
SeekPositionStream 10.3
selection function, for character tables 71.2
SemidirectProduct 46.2
SemiEchelonBasis 58.8
SemiEchelonBasisNC 58.8
SemiEchelonMat 24.9
SemiEchelonMatDestructive 24.9
SemiEchelonMats 24.9
SemiEchelonMatsDestructive 24.9
SemiEchelonMatTransformation 24.9
Semigroup 48.0
SemigroupByGenerators 48.0
SemigroupByMultiplicationTable 48.0
SemigroupIdealByGenerators 48.2
SemigroupOfRewritingSystem 50.4
Semigroups 48.0
SemiSimpleType 60.7
sequence, bernoulli 17.1
sequence, fibonacci 17.3
sequence, lucas 17.3
Set 28.2
set difference, of collections 28.4
SetAssertionLevel 7.5
SetCommutator 43.4
SetConjugate 43.4
SetCrystGroupDefaultAction 41.5
SetEntrySCTable 59.3
SetHelpViewer 2.5 72.14
SetIndeterminateName 62.1
SetInfoLevel 7.4
SetParent 29.6
SetPower 43.4
SetPrintFormattingStatus 10.4
SetRecursionTrapInterval 7.10
sets 21.15
setstabilizer 38.4
Setter 13.6
setter 13.6
SetX 21.17
ShallowCopy 12.7
ShallowCopy, for lists 21.7
share package, permissions 73.2
Share Packages 73.0
ShiftedCoeffs 23.6
ShiftedPadicNumber 64.1
short vectors spanning a lattice 25.3 68.10
ShortestVectors 25.4
ShowArgument 7.1
ShowArguments 7.1
ShowDetails 7.1
ShowImpliedFilters 13.2
ShowMethods 7.1
ShowOtherMethods 7.1
ShrinkCoeffs 23.6
ShrinkRowVector 23.4
SiftedPcElement 42.5
SiftedPermutation 40.9
SiftedVector 58.8
Sigma 15.4
sign, of an integer 14.1
SignInt 14.1
SignPartition 17.2
SignPerm 39.3
SimpleLieAlgebra 60.2
SimpleSystem 60.7
SimplifiedFpGroup 45.2
SimplifyPresentation 45.7
SimsNo 47.8
SimultaneousEigenvalues 24.13
SingleCollector 43.4
singlequote character 26.1
singlequotes 26.0
Size 28.3
size, of a list or collection 28.3
SizeBlist 22.1
SizeConsiderFunction 36.20
SizeNumbersPerfectGroups 47.7
SizeOfFieldOfDefinition 68.15
SizesCentralizers 67.7
SizesConjugacyClasses 67.7
SizeScreen 6.10
SizesPerfectGroups 47.7
SizeStabChain 40.9
SL 47.2
smaller or equal 4.11
smaller test 4.11
smaller, associative words 34.3
smaller, elements of finitely presented groups 44.2
smaller, nonassociative words 33.2
smaller, pcwords 43.2
smaller, rational functions 62.3
SmallerDegreePermutationRepresentation 40.2
SmallestGeneratorPerm 39.1
SmallestMovedPoint 39.2
SmallestRootInt 14.1
SmallGeneratingSet 36.21
SmallGroup 47.6
SmallGroupsInformation 47.6
SmithNormalFormIntegerMat 25.1
SmithNormalFormIntegerMatInverseTransforms 25.1
SmithNormalFormIntegerMatTransforms 25.1
SMTX.AbsoluteIrreducibilityTest 65.8
SMTX.AlgEl 65.9
SMTX.AlgElCharPol 65.9
SMTX.AlgElCharPolFac 65.9
SMTX.AlgElMat 65.9
SMTX.AlgElNullspaceDimension 65.9
SMTX.AlgElNullspaceVec 65.9
SMTX.CentMat 65.9
SMTX.CentMatMinPoly 65.9
SMTX.CompleteBasis 65.8
SMTX.Getter 65.8
SMTX.GoodElementGModule 65.8
SMTX.IrreducibilityTest 65.8
SMTX.MatrixSum 65.8
SMTX.MinimalSubGModule 65.8
SMTX.MinimalSubGModules 65.8
SMTX.RandomIrreducibleSubGModule 65.8
SMTX.Setter 65.8
SMTX.SortHomGModule 65.8
SMTX.Subbasis 65.9
sN 18.4
SNFChouCollins 25.1
SNFLLLDriven 25.1
SNFNormDriven 25.1
SNFofREF 25.1
SO 47.2
Socle 36.11
SocleTypePrimitiveGroup 40.4
Solaris 72.3
SolutionMat 24.6
SolutionMatDestructive 24.6
Sort 21.14
Sorted Lists as Collections 28.2
SortedCharacters 67.17
SortedCharacterTable 67.17
SortedList 28.2
SortedSparseActionHomomorphism 38.6
SortedTom 66.5
Sortex 21.14
SortingPerm 21.14
SortParallel 21.14
Source 30.2
SP 47.2
Sp 47.2
space 4.4
SparseActionHomomorphism 38.6
SparseCartanMatrix 60.7
special character sequences 26.1
SpecialLinearGroup 47.2
SpecialOrthogonalGroup 47.2
SpecialPcgs 42.13
SpecialUnitaryGroup 47.2
SplitCharacters 67.13
SplitExtension 43.8
SplitExtensions 43.8
SplitString 26.4
Sqrt 29.11
square root, of an integer 14.1
SquareRoots 32.4
SSortedList 28.2
StabChain 40.7
StabChainBaseStrongGenerators 40.7
StabChainImmutable 40.7
StabChainMutable 40.7
StabChainOp 40.7
StabChainOptions 40.7
Stabilizer 38.4
StabilizerOfExternalSet 38.10
StabilizerPcgs 42.15
StandardAssociate 53.5
StandardGeneratorsFunctions V 66.10
StandardGeneratorsInfo.stdgen 66.10
StandardGeneratorsInfo.tom 66.11
StandardGeneratorsOfGroup 66.10
StarCyc 18.5
Stirling number of the first kind 17.1
Stirling number of the second kind 17.1
Stirling1 17.1
Stirling2 17.1
StoreFusion 69.2
StraightLineProgram 34.7
StraightLineProgramNC 34.7
StraightLineProgramsTom 66.11
Streams 10.0
StreamsFamily V 10.1
String 26.4
StringDate 26.6
StringOfResultOfStraightLineProgram 34.7
StringPP 26.4
Strings and Characters 26.0
StringTime 26.6
StrongGeneratorsStabChain 40.9
Struct 29.3
StructByGenerators 29.3
StructuralCopy 12.7
StructuralCopy, for lists 21.7
structure constant 67.9
StructureConstantsTable 58.6
StructWithGenerators 29.3
SU 47.2
Subalgebra 59.5
SubAlgebraModule 59.10
SubalgebraNC 59.5
SubalgebraWithOne 59.5
SubalgebraWithOneNC 59.5
SubdirectProduct 46.3
Subdomains 29.7
Subfield 55.2
SubfieldNC 55.2
Subfields 55.2
Subgroup 36.3
subgroup fusions 69.2
subgroup generators tree 45.11
SubgroupByPcgs 42.7
SubgroupNC 36.3
SubgroupOfWholeGroupByCosetTable 44.9
SubgroupOfWholeGroupByQuotientSubgroup 44.9
SubgroupProperty 40.11
subgroups, polyhedral 67.9
SubgroupsSolvableGroup 36.20
sublist 21.3
sublist assignment, operation 21.4
sublist, access 21.3
sublist, assignment 21.4
sublist, operation 21.3
Submagma 32.2
SubmagmaNC 32.2
SubmagmaWithInverses 32.2
SubmagmaWithInversesNC 32.2
SubmagmaWithOne 32.2
SubmagmaWithOneNC 32.2
Submodule 54.2
SubmoduleNC 54.2
Submonoid 49.0
SubmonoidNC 49.0
SubnearAdditiveGroup 52.2
SubnearAdditiveGroupNC 52.2
SubnearAdditiveMagma 52.2
SubnearAdditiveMagmaNC 52.2
SubnearAdditiveMagmaWithZero 52.2
SubnearAdditiveMagmaWithZeroNC 52.2
SubnormalSeries 36.16
Subring 53.1
SubringNC 53.1
SubringWithOne 53.3
SubringWithOneNC 53.3
Subsemigroup 48.0
SubsemigroupNC 48.0
subset test, for collections 28.4
subsets 17.2
Subspace 58.1
SubspaceNC 58.1
Subspaces 58.3
SubstitutedWord 34.4
SubsTom 66.7
Substruct 29.7
SubstructNC 29.7
SubSyllables 34.5
subtract, a set from another 21.15
SubtractBlist 22.3
subtraction 4.12
subtraction, rational functions 62.2
SubtractSet 21.15
Subword 34.4
Sum 21.16
sum, scalar and matrix list 24.2
SumFactorizationFunctionPcgs 42.12
SumIntersectionMat 24.10
SumX 21.17
SupersolvableResiduum 36.11
superuser 73.2
SupportedCharacterTableInfo V 67.2
SurjectiveActionHomomorphismAttr 38.10
SuzukiGroup 47.1
SylowComplement 36.12
SylowSubgroup 36.12
SylowSystem 36.12
symmetric group, powermap 17.2
SymmetricClosureBinaryRelation 31.1
SymmetricGroup 47.1
SymmetricParentGroup 40.3
SymmetricParts 68.11
SymmetricPower 60.14
Symmetrizations 68.11
symmetrizations, orthogonal 68.11
symmetrizations, symplectic 68.11
SymplecticComponents 68.11
SymplecticGroup 47.2
syntax errors 6.1
System V 72.3
SysV 72.3
Sz 47.1

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GAP 4 manual
February 2000