The GAP 4 Manual - Full Index E

_ 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

E R 18.1.1

e_N R 18.4

Earns R 39.9.6

EB R 18.4.1

EC R 18.4.1

Echelonized Matrices R 24.9

ED R 18.4.1

Edit R 6.9.1

Editing Files R 6.9

Editor Support R 6.10

EE R 18.4.1

EF R 18.4.1

Efficiency of Homomorphisms R 38.3

EG R 18.4.1

EggBoxOfDClass R 49.5.6

EH R 18.4.1

EI R 18.4.2

Eigenspaces R 24.7.4

Eigenvalues R 24.7.3

EigenvaluesChar R 70.8.19

Eigenvectors R 24.7.5

Eigenvectors and eigenvalues R 24.7

EJ R 18.4.4

EK R 18.4.4

EL R 18.4.4

element test, for lists R 21.8.1

Elementary Divisors R 24.8

Elementary Operations for a Pcgs R 43.4

Elementary Operations for a Pcgs and an Element R 43.5

Elementary Operations for Integers R 14.1

Elementary Operations for Rationals R 16.1

Elementary Tietze Transformations R 46.8

ElementaryAbelianGroup R 48.1.4

ElementaryAbelianSeries R 37.16.9

ElementaryAbelianSeriesLargeSteps R 37.16.9

ElementaryDivisorsMat R 24.8.1

ElementOfFpGroup R 45.3.5

ElementOfFpSemigroup R 51.3.5

ElementOfMagmaRing R 63.2.5

ElementOrdersPowerMap R 71.1.3

ElementProperty R 41.11.2

Elements R 28.2.9

elements, definition R 12.2

elements, of a list or collection R 28.2

Elements T 9.4

elements T 2.5

Elements as equivalence classes R 12.2

Elements in Algebraic Extensions R 65.2

Elements of Finitely Presented Groups T 9.16

Elements of Free Magma Rings R 63.2

Elements of pc groups R 44.2

Elements with Prescribed Images R 39.5

ElementsFamily R 28.1.3

ElementsFamily P 3.6.3

ElementsStabChain R 41.9.9

elif R 4.16

EliminatedWord R 35.4.6

ElmWPObj E 7.3 E 7.3.1

else R 4.16

EM R 18.4.4

emacs R 6.10

email addresses T 1.5

Embedding, for Lie algebras R 61.1

Embedding, for magma rings R 63.3

Embedding, example for direct products R 47.1

Embedding, example for semidirect products R 47.2

Embedding, example for wreath products R 47.4

Embedding, for group products R 47.5.1

Embedding R 31.1.10

embeddings, find all R 38.9

Embeddings and Projections for Group Products R 47.5

EmptyBinaryRelation R 32.1.4

EmptyMatrix R 24.4.3

EmptySCTable R 60.3.1

EmptyStabChain R 41.10.7

EnableAttributeValueStoring R 13.6.6

End R 59.9.6

end R 4.22

Enforcing Property Tests P 4.3

Enlarging Internally Represented Lists R 21.9

enumerator T 5.2

Enumerator R 28.2.2

EnumeratorByBasis R 59.5.5

Enumerators R 21.23

EnumeratorSorted R 28.2.3

environment R 4.22

EpimorphismNilpotentQuotient R 45.13.4

EpimorphismPGroup R 45.13.3

EpimorphismQuotientSystem R 45.13.2

epimorphisms, find all R 38.9

EpimorphismSchurCover R 37.23.1

equality, pcwords R 44.2.1

equality, nonassociative words R 34.2.1

equality, elements of finitely presented groups R 45.2.1

equality, associative words R 35.3.1

equality, operation R 30.11.1

equality, of records R 27.4.1

Equality and Comparison of Domains R 30.2

equality test R 4.11.1

equality test, for permutations R 40.1.1

equivalence class R 32.7

Equivalence Classes R 32.7

equivalence relation R 32.2 R 32.5

Equivalence Relations R 32.5

EquivalenceClasses, attribute R 32.7.3

EquivalenceClassOfElement R 32.7.4

EquivalenceClassOfElementNC R 32.7.4

EquivalenceClassRelation R 32.7.2

EquivalenceRelationByPairs R 32.5.3

EquivalenceRelationByPairsNC R 32.5.3

EquivalenceRelationByPartition R 32.5.1

EquivalenceRelationByPartitionNC R 32.5.1

EquivalenceRelationByProperty R 32.5.4

EquivalenceRelationByRelation R 32.5.2

EquivalenceRelationPartition R 32.6.1

ER R 18.4.2

Error R 6.5 R 6.5.1

ErrorCount R 6.6 R 6.6.1

ErrorNoTraceBack R 6.3

errors, syntax R 6.1

ES R 18.4.3

escaped characters R 26.1

escaping non-special characters R 26.1

ET R 18.4.3

EU R 18.4.3

Euclidean Rings R 54.6

EuclideanDegree R 54.6.2

EuclideanQuotient R 54.6.3

EuclideanRemainder R 54.6.4

Euler's totient function R 15.1

EulerianFunction R 37.15.3

EulerianFunctionByTom R 68.9.9

EV R 18.4.3

EvalStraightLineProgElm R 35.9.4

EvalString R 26.6.3

evaluation R 4.7

evaluation, strings R 26.6

EW R 18.4.3

EX R 18.4.3

ExactSizeConsiderFunction R 37.20.5

Example: Groups with a decomposition as semidirect product P 4.11

Example: Groups with a word length P 4.10

Example: M-groups P 4.9

Examples, Lists, and Verbatim E 2.7

Examples of Extending the System P 4.0

Exec R 11.2 R 11.2.1

execution R 4.13

exit R 6.7

Expanded form of monomials R 64.19

Expert Windows installation R 73.11

exponent, of the prime residue group R 15.1

Exponent R 37.15.2

Exponent, for character tables R 69.8

exponentiation, operation R 30.12.1

ExponentOfPcElement R 43.5.2

Exponents of Special Products R 43.6

ExponentsConjugateLayer R 43.6.1

ExponentsOfCommutator R 43.6.4

ExponentsOfConjugate R 43.6.3

ExponentsOfPcElement R 43.5.3

ExponentsOfRelativePower R 43.6.2

ExponentSumWord R 35.4.2

ExponentSyllable R 35.5.2

Expressing Group Elements as Words in Generators R 37.5

Expressions R 4.7

ExtendedGroup N 5.1.2

ExtendedPcgs R 43.7.8

Extending the Range of Definition of an Existing Operation P 4.2

ExtendSchreierTransversal N 4.2.6

ExtendSchreierTransversalShortCube N 4.2.7

ExtendSchreierTransversalShortTree N 4.2.8

ExtendStabChain R 41.10.4

Extension R 44.8.5

ExtensionNC R 44.8.5

ExtensionRepresentatives R 44.8.9

Extensions R 44.8.4

Extensions of the p-adic Numbers R 66.2

ExteriorPowerOfAlgebraModule R 61.14.2

External Representation P 3.13

External Representation for Nonassociative Words R 34.5

External representation of polynomials R 64.19

external set T 5.2

External Sets R 39.11

ExternalOrbit R 39.11.9

ExternalOrbits R 39.11.11

ExternalOrbitsStabilizers R 39.11.12

ExternalSet R 39.11.2

ExternalSet E 6.3

ExternalSubset R 39.11.7

Extract R 70.10.5

ExtraspecialGroup R 48.1.6

ExtRepDenominatorRatFun R 64.19.3

ExtRepNumeratorRatFun R 64.19.2

ExtRepOfObj P 3.13.1

ExtRepOfObj, external representation, for cyclotomics R 18.1.10

ExtRepPolynomialRatFun R 64.19.6

EY R 18.4.3

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