# The GAP 4 Reference Manual - Index E

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E 18.1.1
e_N 18.4
EANormalSeriesByPcgs 43.11.4
Earns 39.9.6
EB 18.4.1
EC 18.4.1
Echelonized Matrices 24.9
ED 18.4.1
Edit 6.9.1
Editing Files 6.9
Editor Support 6.10
EE 18.4.1
EF 18.4.1
Efficiency of Homomorphisms 38.3
EG 18.4.1
EggBoxOfDClass 49.5.6
EH 18.4.1
EI 18.4.2
Eigenspaces 24.7.4
Eigenvalues 24.7.3
EigenvaluesChar 70.8.19
Eigenvectors 24.7.5
Eigenvectors and eigenvalues 24.7
EJ 18.4.4
EK 18.4.4
EL 18.4.4
element test, for lists 21.8.1
Elementary Divisors 24.8
Elementary Operations for a Pcgs 43.4
Elementary Operations for a Pcgs and an Element 43.5
Elementary Operations for Integers 14.1
Elementary Operations for Rationals 16.1
Elementary Tietze Transformations 46.8
ElementaryAbelianGroup 48.1.4
ElementaryAbelianSeries 37.17.9
ElementaryAbelianSeriesLargeSteps 37.17.9
ElementaryDivisorsMat 24.8.1
ElementaryDivisorsMatDestructive 24.8.1
ElementOfFpGroup 45.3.5
ElementOfFpSemigroup 51.3.5
ElementOfMagmaRing 63.2.5
ElementOrdersPowerMap 71.1.3
ElementProperty 41.11.2
Elements 28.2.10
Elements as equivalence classes 12.2
Elements in Algebraic Extensions 65.2
Elements of Free Magma Rings 63.2
Elements of pc groups 44.2
Elements with Prescribed Images 39.5
elements, definition 12.2
elements, of a list or collection 28.2
ElementsFamily 28.1.3
ElementsStabChain 41.9.9
elif 4.16
EliminatedWord 35.4.6
EliminationOrdering 64.16.10
else 4.16
EM 18.4.4
emacs 6.10
Embedding 31.1.10
Embedding, example for direct products 47.1
Embedding, example for semidirect products 47.2
Embedding, example for wreath products 47.4
Embedding, for group products 47.5.1
Embedding, for Lie algebras 61.1
Embedding, for magma rings 63.3
Embeddings and Projections for Group Products 47.5
embeddings, find all 38.9
EmptyBinaryRelation 32.1.4
EmptyMatrix 24.4.3
EmptySCTable 60.3.1
EmptyStabChain 41.10.7
EnableAttributeValueStoring 13.6.6
End 59.9.6
end 4.22
Enlarging Internally Represented Lists 21.9
Enumerator 28.2.2
EnumeratorByBasis 59.5.5
EnumeratorByFunctions 28.2.4
Enumerators 21.23
EnumeratorSorted 28.2.3
environment 4.22
EpimorphismNilpotentQuotient 45.13.4
EpimorphismPGroup 45.13.3
EpimorphismQuotientSystem 45.13.2
epimorphisms, find all 38.9
EpimorphismSchurCover 37.24.1
Equality and Comparison of Domains 30.2
equality test 4.11.1
equality test, for permutations 40.1.1
equality, associative words 35.3.1
equality, elements of finitely presented groups 45.2.1
equality, nonassociative words 34.2.1
equality, of records 27.4.1
equality, operation 30.11.1
equality, pcwords 44.2.1
equivalence class 32.7
Equivalence Classes 32.7
equivalence relation 32.2 32.5
Equivalence Relations 32.5
EquivalenceClasses, attribute 32.7.3
EquivalenceClassOfElement 32.7.4
EquivalenceClassOfElementNC 32.7.4
EquivalenceClassRelation 32.7.2
EquivalenceRelationByPairs 32.5.3
EquivalenceRelationByPairsNC 32.5.3
EquivalenceRelationByPartition 32.5.1
EquivalenceRelationByPartitionNC 32.5.1
EquivalenceRelationByProperty 32.5.4
EquivalenceRelationByRelation 32.5.2
EquivalenceRelationPartition 32.6.1
ER 18.4.2
Error 6.5 6.5.1
ErrorCount 6.6 6.6.1
ErrorNoTraceBack 6.3
errors, syntax 6.1
ES 18.4.3
escaped characters 26.1
escaping non-special characters 26.1
ET 18.4.3
EU 18.4.3
Euclidean Rings 54.6
EuclideanDegree 54.6.2
EuclideanQuotient 54.6.3
EuclideanRemainder 54.6.4
Euler's totient function 15.1
EulerianFunction 37.16.3
EulerianFunctionByTom 68.9.9
EV 18.4.3
EvalStraightLineProgElm 35.9.4
EvalString 26.7.3
evaluation 4.7
evaluation, strings 26.7
EW 18.4.3
EX 18.4.3
ExactSizeConsiderFunction 37.21.5
Exec 11.2 11.2.1
execution 4.13
exit 6.7
Expanded form of monomials 64.20
Expert Windows installation 73.17
Exponent 37.16.2
Exponent, for character tables 69.8
exponent, of the prime residue group 15.1
exponentiation, operation 30.12.1
ExponentOfPcElement 43.5.2
Exponents of Special Products 43.6
ExponentsConjugateLayer 43.6.1
ExponentsOfCommutator 43.6.4
ExponentsOfConjugate 43.6.3
ExponentsOfPcElement 43.5.3
ExponentsOfRelativePower 43.6.2
ExponentSumWord 35.4.2
ExponentSyllable 35.5.2
Expressing Group Elements as Words in Generators 37.5
Expressions 4.7
ExtendedPcgs 43.7.8
ExtendStabChain 41.10.4
Extension 44.8.5
ExtensionNC 44.8.5
ExtensionRepresentatives 44.8.9
Extensions 44.8.4
Extensions of the p-adic Numbers 66.2
ExteriorPowerOfAlgebraModule 61.14.2
External Representation for Nonassociative Words 34.5
External representation of polynomials 64.20
External Sets 39.11
ExternalOrbit 39.11.9
ExternalOrbits 39.11.11
ExternalOrbitsStabilizers 39.11.12
ExternalSet 39.11.2
ExternalSubset 39.11.7
Extract 70.10.5
ExtraspecialGroup 48.1.6
ExtRepDenominatorRatFun 64.20.3
ExtRepNumeratorRatFun 64.20.2
ExtRepOfObj, external representation, for cyclotomics 18.1.10
ExtRepPolynomialRatFun 64.20.6
EY 18.4.3

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GAP 4 manual
May 2005