The GAP 4 Manual - Full Index R

_ 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

R, Representation mark-up E 2.5

r_N R 18.4

RadicalGroup R 37.12.9

RadicalOfAlgebra R 60.8.16

Random R 28.6.1

Random, for integers R 14.1.11

Random, for rationals R 16.1.7

random element, of a list or collection R 28.6

Random Elements R 28.6

Random Isomorphism Testing R 44.10

Random Matrices R 24.5

random seed R 28.6

RandomBinaryRelationOnPoints R 32.3.2

RandomHashKey N 2.3.5

RandomInvertableMat T 9.4

RandomInvertibleMat R 24.5.2

RandomIsomorphismTest R 44.10.1

Randomized Methods for Permutation Groups R 41.6

RandomList R 28.6.4

RandomMat R 24.5.1

RandomPrimitivePolynomial R 57.5.3

RandomSchreierSims N 5.1.6

RandomTransformation R 52.0

RandomUnimodularMat R 24.5.3

Range R 31.2.7

range R 21.22

Range N 3.2.6

Ranges R 21.22

Ranges T 3.5

RankAction R 39.9.3

RankFilter R 13.2.1

RankMat R 24.6.1

RankOfTransformation R 52.0

RankPGroup R 37.15.17

Rat R 16.1.6

Rat, for strings R 26.7.1

Rational Function Families R 64.18

Rational Numbers R 16.0

RationalClass R 37.10.6

RationalClasses R 37.10.7

RationalFunctionByExtRep R 64.21.1

RationalFunctionByExtRepNC R 64.21.1

RationalFunctionByExtRepWithCancellation R 64.23.1

RationalFunctionsFamily R 64.18.1

RationalizedMat R 18.5.6

Rationals R 16.0

RClassOfHClass R 49.5.5

Read R 9.7.1

Read, for streams R 10.3.1

Read T 2.2

read eval print loop R 6.1

read evaluate print loop T 2.3

read.g, for a GAP package E 4.7

ReadAll R 10.3.6

ReadAllLine R 10.8.3

ReadAsFunction R 9.7.2

ReadAsFunction, for streams R 10.3.2

ReadByte R 10.3.4

reading source code from a file T 2.2

ReadLine R 10.3.5

README, for a GAP package E 4.2

ReadPackage R 74.3.1

ReadPkg R 75.2

ReadTest R 7.9.1

ReadTest, for streams R 10.3.3

RealClasses R 69.8.14

RealizableBrauerCharacters R 70.15.4

RecFields T 9.4

RecNames R 27.0

Recognizing Characters R 26.3

record, component access R 27.1.1

record, component assignment R 27.2.1

record, component variable R 27.1.2

record, component variable assignment R 27.2.2

Record Access Operations R 27.6

Record Assignment R 27.2

record assignment, operation R 27.6.3

record boundness test, operation R 27.6.3

record component, operation R 27.6.3

record unbind, operation R 27.6.3

Records R 27.0

Recovery from NoMethodFound-Errors R 7.1

recursion R 4.22

Recursion T 4.4

Redispatching P 2.5

RedispatchOnCondition P 2.5.1

redisplay a help section R 2.2.6

redisplay with next help viewer R 2.2.6

ReduceCoeffs R 23.6.3

ReduceCoeffsMod R 23.6.4

ReducedAdditiveInverse R 36.2.4

ReducedCharacters R 70.10.2

ReducedClassFunctions R 70.10.1

ReducedComm R 36.2.5

ReducedConfluentRewritingSystem R 51.5.1

ReducedConjugate R 36.2.6

ReducedDifference R 36.2.7

ReducedForm R 36.1.4

ReducedGroebnerBasis R 64.17.2

ReducedInverse R 36.2.8

ReducedLeftQuotient R 36.2.9

ReducedOne R 36.2.3

ReducedPcElement R 43.5.10

ReducedPower R 36.2.10

ReducedProduct R 36.2.1

ReducedQuotient R 36.2.11

ReducedScalarProduct R 36.2.12

ReducedSum R 36.2.2

ReducedZero R 36.2.13

ReduceRules R 36.1.8

ReduceStabChain R 41.10.5

Reducing Virtual Characters R 70.10

Ree R 48.1.11

ReeGroup R 48.1.11

Rees Matrix Semigroups R 49.6

ReesCongruenceOfSemigroupIdeal R 49.2.2

ReesMatrixSemigroup R 49.6.1

ReesMatrixSemigroupElement R 49.6.5

ReesZeroMatrixSemigroup R 49.6.2

ReesZeroMatrixSemigroupElement R 49.6.5

ReesZeroMatrixSemigroupElementIsZero R 49.6.9

reference to a label E 2.4

RefinedPcGroup R 44.4.9

ReflectionMat R 24.4.9

reflexive relation R 32.2

ReflexiveClosureBinaryRelation R 32.4.1

regular R 39.9

regular action R 39.6

RegularActionHomomorphism R 39.7.2

RegularModule R 69.13.3

Relations R 32.0

relations R 31.0

Relations Between Domains R 30.13

RelationsOfFpSemigroup R 51.3.3

RelativeBasis R 59.4.4

RelativeBasisNC R 59.4.4

relatively prime R 4.12

RelativeOrderOfPcElement R 43.5.1

RelativeOrders, of a pcgs R 43.4.1

Relators in a Presentation R 46.4

RelatorsOfFpGroup R 45.3.3

remainder, operation R 30.12.1

remainder of a quotient R 14.2

RemInt R 14.2.3

Remove R 21.4.5

remove, an element from a set R 21.19

RemoveFile R 9.7.12

RemoveOuterCoeffs R 23.4.4

RemoveRelator R 46.6.4

RemoveSet R 21.19.5

RemoveStabChain R 41.10.6

Repeat R 4.18

repeat loop R 4.18.1

Replaced and Removed Command Names R 75.0

ReplacedString R 26.5.7

Representation R 13.4

representation, as a sum of two squares R 15.6

Representations for Associative Words R 35.6

Representations for Group Homomorphisms R 38.10

Representations given by modules R 69.13

Representations of Algebras R 60.10

RepresentationsOfObject R 13.4.1

Representative R 28.3.7

representative, of a list or collection R 28.3

RepresentativeAction R 39.5.1

RepresentativeLinearOperation R 60.9.12

RepresentativeOperation R 75.1

RepresentativesContainedRightCosets R 37.9.2

RepresentativesFusions R 71.2.8

RepresentativeSmallest R 28.3.8

RepresentativesMinimalBlocks R 39.10.3

RepresentativesPerfectSubgroups R 37.20.5

RepresentativesPowerMaps R 71.1.6

RepresentativesSimpleSubgroups R 37.20.5

RepresentativeTom R 68.11.4

RepresentativeTomByGenerators R 68.11.4

RepresentativeTomByGeneratorsNC R 68.11.4

Requesting one GAP Package from within Another E 4.6

RequirePackage R 75.2

Reread R 9.7.13

REREADING R 9.7.13

RereadPackage R 74.3.1

RereadPkg R 75.2

ResetFilterObj P 3.4.2

ResetOptionsStack R 8.0

residue, quadratic R 15.3

Residue Class Rings R 14.4

RespectsAddition R 31.9.1

RespectsAdditiveInverses R 31.9.2

RespectsInverses R 31.8.3

RespectsMultiplication R 31.8.1

RespectsOne R 31.8.2

RespectsScalarMultiplication R 31.10.1

RespectsZero R 31.9.3

RestoreStateRandom R 28.6.2

Restricted and Induced Class Functions R 70.9

Restricted Lie algebras R 61.8

RestrictedClassFunction R 70.9.1

RestrictedClassFunctions R 70.9.2

RestrictedMapping R 31.1.12

RestrictedPartitions R 17.2.21

RestrictedPerm R 40.4.4

RestrictedPermNC R 40.4.4

RestrictedTransformation R 52.0

RestrictOutputsOfSLP R 35.8.9

Resultant R 64.6.7

ResultOfStraightLineProgram R 35.8.5

Return R 4.23

return R 6.3

return, no value R 4.23.1

return, with value R 4.23.2

return from break loop R 6.3.2

ReturnFail R 5.3.3

ReturnFalse R 5.3.2

ReturnTrue R 5.3.1

Reversed R 21.20.7

RewindStream R 10.3.9

RewriteWord R 45.8.4

Rewriting in Groups and Monoids R 36.4

Rewriting Systems R 36.0

Rewriting Systems and the Knuth-Bendix Procedure R 51.5

right cosets R 37.7

right transversal T 5.2

RightActingAlgebra R 60.10.12

RightActingRingOfIdeal R 54.2.10

RightAlgebraModule R 60.10.5

RightAlgebraModuleByGenerators R 60.10.2

RightCoset R 37.7.1

RightCosets R 37.7.2

RightCosetsNC R 37.7.2

RightDerivations R 61.2.5

RightIdeal R 54.2.1

RightIdealByGenerators R 54.2.6

RightIdealNC R 54.2.2

RightModuleByHomomorphismToMatAlg R 60.10.18

RightShiftRowVector R 23.4.2

RightTransversal R 37.8.1

Ring R 54.1.2

Ring Homomorphisms R 31.11

RingByGenerators R 54.1.4

Rings R 54.0

Rings With One R 54.3

RingWithOne R 54.3.2

RingWithOneByGenerators R 54.3.3

RNamObj R 27.6.2

root, of 1 modulo an integer R 15.3

root, of an integer R 14.1

root, of an integer modulo another R 15.3

root, of an integer, smallest R 14.1

RootInt R 14.1.9

RootMod R 15.3.3

RootOfDefiningPolynomial R 56.2.8

Roots Modulo Integers R 15.3

roots of unity R 18.1

RootsMod R 15.3.4

RootsOfUPol R 64.5.4

RootsUnityMod R 15.3.5

RootSystem R 61.7.5

RoundCyc R 18.1.7

Row and Matrix Spaces R 59.8

row spaces R 59.8

Row Vectors R 23.0

Row Vectors over Finite Fields R 23.2

RowIndexOfReesMatrixSemigroupElement R 49.6.8

RowIndexOfReesZeroMatrixSemigroupElement R 49.6.8

Rules R 36.1.2

Running GAP R 3.0

Running GAP under MacOS R 3.3

Runtime R 7.6.2

Runtimes R 7.6.1

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