# 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 14.5.2
Random, [coll] 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
Random Sources R 14.5
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
RandomSource R 14.5.5
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 69.8.15
RealizableBrauerCharacters R 70.15.4
RealPart R 18.5.2
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
RemoveCharacters R 26.5.10
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
Reset R 14.5.3
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 6.4
return, no value R 4.23.1
return, with value R 4.23.2
return from break loop R 6.4.2
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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