# The GAP 4 Reference Manual - Index F

_ A B C D E F G H I J K L M N O P Q R S T U V W X Y Z

f_N 18.4
Factor Groups 37.17
Factor Groups of Polycyclic Groups - Modulo Pcgs 43.9
Factor Groups of Polycyclic Groups in their Own Representation 43.10
FactorCosetAction 39.7.1
FactorCosetAction, for fp groups 45.5.3
FactorCosetOperation 45.5.3
FactorFreeSemigroupByRelations 51.1.2
FactorGroup 37.17.2
FactorGroupFpGroupByRels 45.1.2
FactorGroupNC 37.17.2
FactorGroupNormalSubgroupClasses 69.22.4
FactorGroupTom 68.9.11
Factorial 17.1.1
Factorization 37.5.1
factorization 37.5
Factors 54.5.8
Factors, of univariate polynomial 64.10.1
FactorsInt 14.3.6
FactorsSquarefree 64.10.2
Fail 20.1
fail 20.1.1
FaithfulModule 60.10.20
FaithfulModule, for Lie algebras 61.12.1
Families 13.1
FamiliesOfGeneralMappingsAndRanges 31.13.5
FamiliesOfRows 69.19.5
FamilyForOrdering 29.2.4
FamilyObj 13.1.1
FamilyPcgs 44.1.1
FamilyRange 31.13.3
FamilySource 31.13.4
FAQ 73.19
features, under UNIX 3.1
fi 4.16
Fibonacci 17.3.1
Fibonacci and Lucas Sequences 17.3
Field 56.1.3
field homomorphisms, Frobenius 57.4
FieldExtension 56.2.9
FieldOfMatrixGroup 42.1.3
FieldOverItselfByGenerators 56.2.2
fields 56.0
Fields and Division Rings 56.0
File Access 9.6
File Operations 9.7
File Streams 10.5
FileDescriptorOfStream 10.2.2
Filename 9.4 9.4.1
Files and Filenames 9.0
Filtered 21.20.17
Filters 13.2
Filters Controlling the Arithmetic Behaviour of Lists 21.12
Finding Positions in Lists 21.16
Finding Submodules 67.5
FindSl2 61.9.7
Finite Field Elements 57.1
Finite Fields 57.0
Finite Perfect Groups 48.8
Finitely Presented Algebras 62.0
Finitely Presented Groups 45.0
Finitely Presented Lie Algebras 61.11
Finitely presented monoids 51.4
Finitely Presented Semigroups and Monoids 51.0
finiteness test, for a list or collection 28.3
First 21.20.19
FittingSubgroup 37.11.5
Flat 21.20.6
flush character 26.1
For 4.19
for loop 4.19.1
ForAll 21.20.20
ForAny 21.20.21
FpElmComparisonMethod 45.2.3
FpGroupPresentation 46.1.4
FpGrpMonSmgOfFpGrpMonSmgElement 51.0
FpLieAlgebraByCartanMatrix 61.11.1
Frame 70.11
FrattiniSubgroup 37.11.6
FrattiniSubgroup, for groups with pcgs 43.16
Free Groups, Monoids and Semigroups 35.2
Free Magma Rings 63.1
Free Magmas 34.4
Free Modules 55.3
FreeAlgebra 60.2.1
FreeAlgebraWithOne 60.2.2
FreeAssociativeAlgebra 60.2.3
FreeAssociativeAlgebraWithOne 60.2.4
FreeGeneratorsOfFpGroup 45.3.2
FreeGeneratorsOfFpSemigroup 51.3.2
FreeGeneratorsOfWholeGroup 45.3.2
FreeGroup 35.2.1
FreeGroupOfFpGroup 45.3.1
FreeLeftModule 55.3.2
FreeLieAlgebra 61.2.3
FreeMagma 34.4.1
FreeMagmaRing 63.1.1
FreeMagmaWithOne 34.4.2
FreeMonoid 50.0 50.0 50.0 50.0 50.0
FreeMonoid, with example 35.2.3
FreeMonoidOfRewritingSystem 51.5.6
FreeSemigroup 35.2.4
FreeSemigroup, with examples 49.0 49.0 49.0 49.0 49.0
FreeSemigroupOfFpSemigroup 51.3.1
FreeSemigroupOfRewritingSystem 51.5.5
Frobenius automorphism 57.4
FrobeniusAutomorphism 57.4 57.4.1
FrobeniusCharacterValue 70.15.1
ftp 73.2
FullMatrixAlgebra 60.4.4
FullMatrixAlgebraCentralizer 60.8.15
FullMatrixLieAlgebra 61.2.4
FullMatrixModule 55.3.12
FullMatrixSpace 59.8.5
FullRowModule 55.3.10
FullRowSpace 59.8.4
Function 4.22
function 4.22.1
function call 4.10.1
function call, with arguments 4.10.1
function call, with options 4.10.2
Function Calls 4.10
Function that Modify Boolean Lists 22.3
Function Types 5.4
FunctionAction 39.11.4
FunctionOperation 39.12.4
Functions 5.0
functions 5.0 31.0
Functions for Coding Theory 23.5
Functions for GAP Packages 74.4
Functions that do nothing 5.3
functions, definition by arrow notation 4.22
functions, definition of 4.22
functions, recursive 4.22
functions, with a variable number of arguments 4.10 4.22
FunctionsFamily 5.4.3
FusionCharTableTom 68.12.1
FusionConjugacyClasses 71.2.1
FusionConjugacyClassesOp 71.2.1
fusions 71.2
FusionsAllowedByRestrictions 71.5.4
FusionsTom 68.7.6

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GAP 4 manual
May 2002