The GAP 4 Reference Manual - Index E

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E 18.1

Earns 38.8

EB 18.4

EC 18.4

Echelonized Matrices 24.9

ED 18.4

Edit 6.9

EE 18.4

EF 18.4

Efficiency of Homomorphisms 37.3

EG 18.4

EggBoxOfDClass 48.5

EH 18.4

EI 18.4

Eigenspaces 24.7

Eigenvalues 24.7

EigenvaluesChar 68.8

Eigenvectors 24.7

Eigenvectors and eigenvalues 24.7

EJ 18.4

EK 18.4

EL 18.4

element test, for lists 21.8

Elementary Divisors 24.8

Elementary Operations for a Pcgs 42.4

Elementary Operations for a Pcgs and an Element 42.5

Elementary Operations for Integers 14.1

Elementary Operations for Rationals 16.1

Elementary Tietze Transformations 45.8

ElementaryAbelianGroup 47.1

ElementaryAbelianSeries 36.16

ElementaryAbelianSeriesLargeSteps 36.16

ElementaryDivisorsMat 24.8

ElementOfFpGroup 44.3

ElementOfFpSemigroup 50.3

ElementOfMagmaRing 61.2

ElementOrdersPowerMap 69.1

ElementProperty 40.11

Elements 12.2 28.2

Elements in Algebraic Extensions 63.2

Elements of Free Magma Rings 61.2

Elements of pc groups 43.2

Elements with Prescribed Images 38.5

elements, of a list or collection 28.2

ElementsFamily 28.1

ElementsStabChain 40.9

elif 4.16

EliminatedWord 34.4

else 4.16

EM 18.4

Embedding 30.1 46.5

Embeddings and Projections for Group Products 46.5

embeddings, find all 37.8

EmptyMatrix 24.4

EmptySCTable 59.3

EmptyStabChain 40.10

eN 18.4

EnableAttributeValueStoring 13.6

End 58.9

end 4.21

Enlarging Internally Represented Lists 21.9

Enumerator 28.2

EnumeratorByBasis 58.5

Enumerators 21.19

EnumeratorSorted 28.2

environment 4.21

EpimorphismNilpotentQuotient 44.10

EpimorphismPGroup 44.10

epimorphisms, find all 37.8

Equality and Comparison of Domains 29.2

equality test 4.11

equality test, for permutations 39.1

equality, associative words 34.3

equality, elements of finitely presented groups 44.2

equality, nonassociative words 33.2

equality, of records 27.4

equality, operation 29.10

equality, pcwords 43.2

Equivalence Relations 31.2

EquivalenceClasses 31.2

EquivalenceClassOfElement 31.2

EquivalenceClassOfElementNC 31.2

EquivalenceClassRelation 31.2

EquivalenceRelationByPairs 31.2

EquivalenceRelationByPairsNC 31.2

EquivalenceRelationByPartition 31.2

EquivalenceRelationByRelation 31.2

EquivalenceRelationPartition 31.2

ER 18.4

Error 6.5

ErrorCount 6.6

errors, syntax 6.1

ES 18.4

ET 18.4

EU 18.4

Euclidean Rings 53.6

EuclideanDegree 53.6

EuclideanQuotient 53.6

EuclideanRemainder 53.6

EulerianFunction 36.15

EulerianFunctionByTom 66.9

Eulers totient function 15.1

EV 18.4

evaluation 4.7

EW 18.4

EX 18.4

ExactSizeConsiderFunction 36.20

Examples of Generic Character Tables 71.4

Examples of the ATLAS Format for GAP Tables 71.6

Exec 11.2

execution 4.13

exit 6.7

Expanded form of monomials 62.18

Exponent 36.15

exponent, of the prime residue group 15.1

exponentiation, operation 29.11

ExponentOfPcElement 42.5

Exponents of Special Products 42.6

ExponentsConjugateLayer 42.6

ExponentsOfCommutator 42.6

ExponentsOfConjugate 42.6

ExponentsOfPcElement 42.5

ExponentsOfRelativePower 42.6

ExponentSumWord 34.4

ExponentSyllable 34.5

Expressing Group Elements as Words in Generators 36.5

Expressions 4.7

ExtendedPcgs 42.7

ExtendStabChain 40.10

Extension 43.8

ExtensionRepresentatives 43.8

Extensions 43.8

Extensions of the p-adic Numbers 64.2

ExteriorPower 60.14

External Representation for Associative Words 34.6

External Representation for Nonassociative Words 33.5

External representation of polynomials 62.18

External Sets 38.10

ExternalOrbit 38.10

ExternalOrbits 38.10

ExternalOrbitsStabilizers 38.10

ExternalSet 38.10

ExternalSubset 38.10

Extract 68.10

ExtraspecialGroup 47.1

ExtRepDenominatorRatFun 62.18

ExtRepNumeratorRatFun 62.18

ExtRepOfObj 60.13

ExtRepOfObj, external representation, for cyclotomics 18.1

ExtRepPolynomialRatFun 62.18

EY 18.4

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