<html><head><title>The GAP 4 Manual - Full Index R</title></head> <body bgcolor="ffffff"><h1>The GAP 4 Manual - Full Index R</h1> <p> <a href="theindex.htm">_</A> <a href="indxA.htm">A</A> <a href="indxB.htm">B</A> <a href="indxC.htm">C</A> <a href="indxD.htm">D</A> <a href="indxE.htm">E</A> <a href="indxF.htm">F</A> <a href="indxG.htm">G</A> <a href="indxH.htm">H</A> <a href="indxI.htm">I</A> <a href="indxJ.htm">J</A> <a href="indxK.htm">K</A> <a href="indxL.htm">L</A> <a href="indxM.htm">M</A> <a href="indxN.htm">N</A> <a href="indxO.htm">O</A> <a href="indxP.htm">P</A> <a href="indxQ.htm">Q</A> <a href="indxR.htm">R</A> <a href="indxS.htm">S</A> <a href="indxT.htm">T</A> <a href="indxU.htm">U</A> <a href="indxV.htm">V</A> <a href="indxW.htm">W</A> <a href="indxX.htm">X</A> <a href="indxY.htm">Y</A> <a href="indxZ.htm">Z</A> <dl> <dt>R, Representation mark-up <a href="ext/CHAP002.htm#I48">E 2.5</a> <dt>r_N <a href="ref/CHAP018.htm#I19">R 18.4</a> <dt>RadicalGroup <a href="ref/CHAP037.htm#SSEC012.9">R 37.12.9</a> <dt>RadicalOfAlgebra <a href="ref/CHAP060.htm#SSEC008.16">R 60.8.16</a> <dt>Random <a href="ref/CHAP014.htm#SSEC005.2">R 14.5.2</a> <dt>Random, [coll] <a href="ref/CHAP028.htm#SSEC006.1">R 28.6.1</a> <dt>Random, for integers <a href="ref/CHAP014.htm#SSEC001.11">R 14.1.11</a> <dt>Random, for rationals <a href="ref/CHAP016.htm#SSEC001.7">R 16.1.7</a> <dt>random element, of a list or collection <a href="ref/CHAP028.htm#I11">R 28.6</a> <dt>Random Elements <a href="ref/CHAP028.htm#SECT006">R 28.6</a> <dt>Random Isomorphism Testing <a href="ref/CHAP044.htm#SECT010">R 44.10</a> <dt>Random Matrices <a href="ref/CHAP024.htm#SECT005">R 24.5</a> <dt>random seed <a href="ref/CHAP028.htm#I12">R 28.6</a> <dt>Random Sources <a href="ref/CHAP014.htm#SECT005">R 14.5</a> <dt>RandomBinaryRelationOnPoints <a href="ref/CHAP032.htm#SSEC003.2">R 32.3.2</a> <dt>RandomHashKey <a href="new/CHAP002.htm#SSEC003.5">N 2.3.5</a> <dt>RandomInvertableMat <a href="tut/CHAP009.htm#I15">T 9.4</a> <dt>RandomInvertibleMat <a href="ref/CHAP024.htm#SSEC005.2">R 24.5.2</a> <dt>RandomIsomorphismTest <a href="ref/CHAP044.htm#SSEC010.1">R 44.10.1</a> <dt>Randomized Methods for Permutation Groups <a href="ref/CHAP041.htm#SECT006">R 41.6</a> <dt>RandomList <a href="ref/CHAP028.htm#SSEC006.4">R 28.6.4</a> <dt>RandomMat <a href="ref/CHAP024.htm#SSEC005.1">R 24.5.1</a> <dt>RandomPrimitivePolynomial <a href="ref/CHAP057.htm#SSEC005.3">R 57.5.3</a> <dt>RandomSchreierSims <a href="new/CHAP005.htm#SSEC001.6">N 5.1.6</a> <dt>RandomSource <a href="ref/CHAP014.htm#SSEC005.5">R 14.5.5</a> <dt>RandomTransformation <a href="ref/CHAP052.htm#">R 52.0</a> <dt>RandomUnimodularMat <a href="ref/CHAP024.htm#SSEC005.3">R 24.5.3</a> <dt>Range <a href="ref/CHAP031.htm#SSEC002.7">R 31.2.7</a> <dt>range <a href="ref/CHAP021.htm#I27">R 21.22</a> <dt>Range <a href="new/CHAP003.htm#SSEC002.6">N 3.2.6</a> <dt>Ranges <a href="ref/CHAP021.htm#SECT022">R 21.22</a> <dt>Ranges <a href="tut/CHAP003.htm#SECT005">T 3.5</a> <dt>RankAction <a href="ref/CHAP039.htm#SSEC009.3">R 39.9.3</a> <dt>RankFilter <a href="ref/CHAP013.htm#SSEC002.1">R 13.2.1</a> <dt>RankMat <a href="ref/CHAP024.htm#SSEC006.1">R 24.6.1</a> <dt>RankOfTransformation <a href="ref/CHAP052.htm#">R 52.0</a> <dt>RankPGroup <a href="ref/CHAP037.htm#SSEC015.17">R 37.15.17</a> <dt>Rat <a href="ref/CHAP016.htm#SSEC001.6">R 16.1.6</a> <dt>Rat, for strings <a href="ref/CHAP026.htm#SSEC007.1">R 26.7.1</a> <dt>Rational Function Families <a href="ref/CHAP064.htm#SECT018">R 64.18</a> <dt>Rational Numbers <a href="ref/CHAP016.htm">R 16.0</a> <dt>RationalClass <a href="ref/CHAP037.htm#SSEC010.6">R 37.10.6</a> <dt>RationalClasses <a href="ref/CHAP037.htm#SSEC010.7">R 37.10.7</a> <dt>RationalFunctionByExtRep <a href="ref/CHAP064.htm#SSEC021.1">R 64.21.1</a> <dt>RationalFunctionByExtRepNC <a href="ref/CHAP064.htm#SSEC021.1">R 64.21.1</a> <dt>RationalFunctionByExtRepWithCancellation <a href="ref/CHAP064.htm#SSEC023.1">R 64.23.1</a> <dt>RationalFunctionsFamily <a href="ref/CHAP064.htm#SSEC018.1">R 64.18.1</a> <dt>RationalizedMat <a href="ref/CHAP018.htm#SSEC005.6">R 18.5.6</a> <dt>Rationals <a href="ref/CHAP016.htm#">R 16.0</a> <dt>RClassOfHClass <a href="ref/CHAP049.htm#SSEC005.5">R 49.5.5</a> <dt>Read <a href="ref/CHAP009.htm#SSEC007.1">R 9.7.1</a> <dt>Read, for streams <a href="ref/CHAP010.htm#SSEC003.1">R 10.3.1</a> <dt>Read <a href="tut/CHAP002.htm#I7">T 2.2</a> <dt>read eval print loop <a href="ref/CHAP006.htm#I0">R 6.1</a> <dt>read evaluate print loop <a href="tut/CHAP002.htm#I8">T 2.3</a> <dt>read.g, for a GAP package <a href="ext/CHAP004.htm#I2">E 4.7</a> <dt>ReadAll <a href="ref/CHAP010.htm#SSEC003.6">R 10.3.6</a> <dt>ReadAllLine <a href="ref/CHAP010.htm#SSEC008.3">R 10.8.3</a> <dt>ReadAsFunction <a href="ref/CHAP009.htm#SSEC007.2">R 9.7.2</a> <dt>ReadAsFunction, for streams <a href="ref/CHAP010.htm#SSEC003.2">R 10.3.2</a> <dt>ReadByte <a href="ref/CHAP010.htm#SSEC003.4">R 10.3.4</a> <dt>reading source code from a file <a href="tut/CHAP002.htm#I6">T 2.2</a> <dt>ReadLine <a href="ref/CHAP010.htm#SSEC003.5">R 10.3.5</a> <dt>README, for a GAP package <a href="ext/CHAP004.htm#I0">E 4.2</a> <dt>ReadPackage <a href="ref/CHAP074.htm#SSEC003.1">R 74.3.1</a> <dt>ReadPkg <a href="ref/CHAP075.htm#I13">R 75.2</a> <dt>ReadTest <a href="ref/CHAP007.htm#SSEC009.1">R 7.9.1</a> <dt>ReadTest, for streams <a href="ref/CHAP010.htm#SSEC003.3">R 10.3.3</a> <dt>RealClasses <a href="ref/CHAP069.htm#SSEC008.15">R 69.8.15</a> <dt>RealizableBrauerCharacters <a href="ref/CHAP070.htm#SSEC015.4">R 70.15.4</a> <dt>RealPart <a href="ref/CHAP018.htm#SSEC005.2">R 18.5.2</a> <dt>RecFields <a href="tut/CHAP009.htm#I16">T 9.4</a> <dt>RecNames <a href="ref/CHAP027.htm#">R 27.0</a> <dt>Recognizing Characters <a href="ref/CHAP026.htm#SECT003">R 26.3</a> <dt>record, component access <a href="ref/CHAP027.htm#SSEC001.1">R 27.1.1</a> <dt>record, component assignment <a href="ref/CHAP027.htm#SSEC002.1">R 27.2.1</a> <dt>record, component variable <a href="ref/CHAP027.htm#SSEC001.2">R 27.1.2</a> <dt>record, component variable assignment <a href="ref/CHAP027.htm#SSEC002.2">R 27.2.2</a> <dt>Record Access Operations <a href="ref/CHAP027.htm#SECT006">R 27.6</a> <dt>Record Assignment <a href="ref/CHAP027.htm#SECT002">R 27.2</a> <dt>record assignment, operation <a href="ref/CHAP027.htm#SSEC006.3">R 27.6.3</a> <dt>record boundness test, operation <a href="ref/CHAP027.htm#SSEC006.3">R 27.6.3</a> <dt>record component, operation <a href="ref/CHAP027.htm#SSEC006.3">R 27.6.3</a> <dt>record unbind, operation <a href="ref/CHAP027.htm#SSEC006.3">R 27.6.3</a> <dt>Records <a href="ref/CHAP027.htm">R 27.0</a> <dt>Recovery from NoMethodFound-Errors <a href="ref/CHAP007.htm#SECT001">R 7.1</a> <dt>recursion <a href="ref/CHAP004.htm#I46">R 4.22</a> <dt>Recursion <a href="tut/CHAP004.htm#SECT004">T 4.4</a> <dt>Redispatching <a href="prg/CHAP002.htm#SECT005">P 2.5</a> <dt>RedispatchOnCondition <a href="prg/CHAP002.htm#SSEC005.1">P 2.5.1</a> <dt>redisplay a help section <a href="ref/CHAP002.htm#SSEC002.6">R 2.2.6</a> <dt>redisplay with next help viewer <a href="ref/CHAP002.htm#SSEC002.6">R 2.2.6</a> <dt>ReduceCoeffs <a href="ref/CHAP023.htm#SSEC006.3">R 23.6.3</a> <dt>ReduceCoeffsMod <a href="ref/CHAP023.htm#SSEC006.4">R 23.6.4</a> <dt>ReducedAdditiveInverse <a href="ref/CHAP036.htm#SSEC002.4">R 36.2.4</a> <dt>ReducedCharacters <a href="ref/CHAP070.htm#SSEC010.2">R 70.10.2</a> <dt>ReducedClassFunctions <a href="ref/CHAP070.htm#SSEC010.1">R 70.10.1</a> <dt>ReducedComm <a href="ref/CHAP036.htm#SSEC002.5">R 36.2.5</a> <dt>ReducedConfluentRewritingSystem <a href="ref/CHAP051.htm#SSEC005.1">R 51.5.1</a> <dt>ReducedConjugate <a href="ref/CHAP036.htm#SSEC002.6">R 36.2.6</a> <dt>ReducedDifference <a href="ref/CHAP036.htm#SSEC002.7">R 36.2.7</a> <dt>ReducedForm <a href="ref/CHAP036.htm#SSEC001.4">R 36.1.4</a> <dt>ReducedGroebnerBasis <a href="ref/CHAP064.htm#SSEC017.2">R 64.17.2</a> <dt>ReducedInverse <a href="ref/CHAP036.htm#SSEC002.8">R 36.2.8</a> <dt>ReducedLeftQuotient <a href="ref/CHAP036.htm#SSEC002.9">R 36.2.9</a> <dt>ReducedOne <a href="ref/CHAP036.htm#SSEC002.3">R 36.2.3</a> <dt>ReducedPcElement <a href="ref/CHAP043.htm#SSEC005.10">R 43.5.10</a> <dt>ReducedPower <a href="ref/CHAP036.htm#SSEC002.10">R 36.2.10</a> <dt>ReducedProduct <a href="ref/CHAP036.htm#SSEC002.1">R 36.2.1</a> <dt>ReducedQuotient <a href="ref/CHAP036.htm#SSEC002.11">R 36.2.11</a> <dt>ReducedScalarProduct <a href="ref/CHAP036.htm#SSEC002.12">R 36.2.12</a> <dt>ReducedSum <a href="ref/CHAP036.htm#SSEC002.2">R 36.2.2</a> <dt>ReducedZero <a href="ref/CHAP036.htm#SSEC002.13">R 36.2.13</a> <dt>ReduceRules <a href="ref/CHAP036.htm#SSEC001.8">R 36.1.8</a> <dt>ReduceStabChain <a href="ref/CHAP041.htm#SSEC010.5">R 41.10.5</a> <dt>Reducing Virtual Characters <a href="ref/CHAP070.htm#SECT010">R 70.10</a> <dt>Ree <a href="ref/CHAP048.htm#SSEC001.11">R 48.1.11</a> <dt>ReeGroup <a href="ref/CHAP048.htm#SSEC001.11">R 48.1.11</a> <dt>Rees Matrix Semigroups <a href="ref/CHAP049.htm#SECT006">R 49.6</a> <dt>ReesCongruenceOfSemigroupIdeal <a href="ref/CHAP049.htm#SSEC002.2">R 49.2.2</a> <dt>ReesMatrixSemigroup <a href="ref/CHAP049.htm#SSEC006.1">R 49.6.1</a> <dt>ReesMatrixSemigroupElement <a href="ref/CHAP049.htm#SSEC006.5">R 49.6.5</a> <dt>ReesZeroMatrixSemigroup <a href="ref/CHAP049.htm#SSEC006.2">R 49.6.2</a> <dt>ReesZeroMatrixSemigroupElement <a href="ref/CHAP049.htm#SSEC006.5">R 49.6.5</a> <dt>ReesZeroMatrixSemigroupElementIsZero <a href="ref/CHAP049.htm#SSEC006.9">R 49.6.9</a> <dt>reference to a label <a href="ext/CHAP002.htm#I25">E 2.4</a> <dt>RefinedPcGroup <a href="ref/CHAP044.htm#SSEC004.9">R 44.4.9</a> <dt>ReflectionMat <a href="ref/CHAP024.htm#SSEC004.9">R 24.4.9</a> <dt>reflexive relation <a href="ref/CHAP032.htm#I3">R 32.2</a> <dt>ReflexiveClosureBinaryRelation <a href="ref/CHAP032.htm#SSEC004.1">R 32.4.1</a> <dt>regular <a href="ref/CHAP039.htm#I17">R 39.9</a> <dt>regular action <a href="ref/CHAP039.htm#I14">R 39.6</a> <dt>RegularActionHomomorphism <a href="ref/CHAP039.htm#SSEC007.2">R 39.7.2</a> <dt>RegularModule <a href="ref/CHAP069.htm#SSEC013.3">R 69.13.3</a> <dt>Relations <a href="ref/CHAP032.htm">R 32.0</a> <dt>relations <a href="ref/CHAP031.htm#I1">R 31.0</a> <dt>Relations Between Domains <a href="ref/CHAP030.htm#SECT013">R 30.13</a> <dt>RelationsOfFpSemigroup <a href="ref/CHAP051.htm#SSEC003.3">R 51.3.3</a> <dt>RelativeBasis <a href="ref/CHAP059.htm#SSEC004.4">R 59.4.4</a> <dt>RelativeBasisNC <a href="ref/CHAP059.htm#SSEC004.4">R 59.4.4</a> <dt>relatively prime <a href="ref/CHAP004.htm#I27">R 4.12</a> <dt>RelativeOrderOfPcElement <a href="ref/CHAP043.htm#SSEC005.1">R 43.5.1</a> <dt>RelativeOrders, of a pcgs <a href="ref/CHAP043.htm#SSEC004.1">R 43.4.1</a> <dt>Relators in a Presentation <a href="ref/CHAP046.htm#SECT004">R 46.4</a> <dt>RelatorsOfFpGroup <a href="ref/CHAP045.htm#SSEC003.3">R 45.3.3</a> <dt>remainder, operation <a href="ref/CHAP030.htm#SSEC012.1">R 30.12.1</a> <dt>remainder of a quotient <a href="ref/CHAP014.htm#I6">R 14.2</a> <dt>RemInt <a href="ref/CHAP014.htm#SSEC002.3">R 14.2.3</a> <dt>Remove <a href="ref/CHAP021.htm#SSEC004.5">R 21.4.5</a> <dt>remove, an element from a set <a href="ref/CHAP021.htm#I22">R 21.19</a> <dt>RemoveCharacters <a href="ref/CHAP026.htm#SSEC005.10">R 26.5.10</a> <dt>RemoveFile <a href="ref/CHAP009.htm#SSEC007.12">R 9.7.12</a> <dt>RemoveOuterCoeffs <a href="ref/CHAP023.htm#SSEC004.4">R 23.4.4</a> <dt>RemoveRelator <a href="ref/CHAP046.htm#SSEC006.4">R 46.6.4</a> <dt>RemoveSet <a href="ref/CHAP021.htm#SSEC019.5">R 21.19.5</a> <dt>RemoveStabChain <a href="ref/CHAP041.htm#SSEC010.6">R 41.10.6</a> <dt>Repeat <a href="ref/CHAP004.htm#SECT018">R 4.18</a> <dt>repeat loop <a href="ref/CHAP004.htm#SSEC018.1">R 4.18.1</a> <dt>Replaced and Removed Command Names <a href="ref/CHAP075.htm">R 75.0</a> <dt>ReplacedString <a href="ref/CHAP026.htm#SSEC005.7">R 26.5.7</a> <dt>Representation <a href="ref/CHAP013.htm#SECT004">R 13.4</a> <dt>representation, as a sum of two squares <a href="ref/CHAP015.htm#I19">R 15.6</a> <dt>Representations for Associative Words <a href="ref/CHAP035.htm#SECT006">R 35.6</a> <dt>Representations for Group Homomorphisms <a href="ref/CHAP038.htm#SECT010">R 38.10</a> <dt>Representations given by modules <a href="ref/CHAP069.htm#SECT013">R 69.13</a> <dt>Representations of Algebras <a href="ref/CHAP060.htm#SECT010">R 60.10</a> <dt>RepresentationsOfObject <a href="ref/CHAP013.htm#SSEC004.1">R 13.4.1</a> <dt>Representative <a href="ref/CHAP028.htm#SSEC003.7">R 28.3.7</a> <dt>representative, of a list or collection <a href="ref/CHAP028.htm#I5">R 28.3</a> <dt>RepresentativeAction <a href="ref/CHAP039.htm#SSEC005.1">R 39.5.1</a> <dt>RepresentativeLinearOperation <a href="ref/CHAP060.htm#SSEC009.12">R 60.9.12</a> <dt>RepresentativeOperation <a href="ref/CHAP075.htm#I5">R 75.1</a> <dt>RepresentativesContainedRightCosets <a href="ref/CHAP037.htm#SSEC009.2">R 37.9.2</a> <dt>RepresentativesFusions <a href="ref/CHAP071.htm#SSEC002.8">R 71.2.8</a> <dt>RepresentativeSmallest <a href="ref/CHAP028.htm#SSEC003.8">R 28.3.8</a> <dt>RepresentativesMinimalBlocks <a href="ref/CHAP039.htm#SSEC010.3">R 39.10.3</a> <dt>RepresentativesPerfectSubgroups <a href="ref/CHAP037.htm#SSEC020.5">R 37.20.5</a> <dt>RepresentativesPowerMaps <a href="ref/CHAP071.htm#SSEC001.6">R 71.1.6</a> <dt>RepresentativesSimpleSubgroups <a href="ref/CHAP037.htm#SSEC020.5">R 37.20.5</a> <dt>RepresentativeTom <a href="ref/CHAP068.htm#SSEC011.4">R 68.11.4</a> <dt>RepresentativeTomByGenerators <a href="ref/CHAP068.htm#SSEC011.4">R 68.11.4</a> <dt>RepresentativeTomByGeneratorsNC <a href="ref/CHAP068.htm#SSEC011.4">R 68.11.4</a> <dt>Requesting one GAP Package from within Another <a href="ext/CHAP004.htm#SECT006">E 4.6</a> <dt>RequirePackage <a href="ref/CHAP075.htm#I12">R 75.2</a> <dt>Reread <a href="ref/CHAP009.htm#SSEC007.13">R 9.7.13</a> <dt>REREADING <a href="ref/CHAP009.htm#SSEC007.13">R 9.7.13</a> <dt>RereadPackage <a href="ref/CHAP074.htm#SSEC003.1">R 74.3.1</a> <dt>RereadPkg <a href="ref/CHAP075.htm#I14">R 75.2</a> <dt>Reset <a href="ref/CHAP014.htm#SSEC005.3">R 14.5.3</a> <dt>ResetFilterObj <a href="prg/CHAP003.htm#SSEC004.2">P 3.4.2</a> <dt>ResetOptionsStack <a href="ref/CHAP008.htm#">R 8.0</a> <dt>residue, quadratic <a href="ref/CHAP015.htm#I15">R 15.3</a> <dt>Residue Class Rings <a href="ref/CHAP014.htm#SECT004">R 14.4</a> <dt>RespectsAddition <a href="ref/CHAP031.htm#SSEC009.1">R 31.9.1</a> <dt>RespectsAdditiveInverses <a href="ref/CHAP031.htm#SSEC009.2">R 31.9.2</a> <dt>RespectsInverses <a href="ref/CHAP031.htm#SSEC008.3">R 31.8.3</a> <dt>RespectsMultiplication <a href="ref/CHAP031.htm#SSEC008.1">R 31.8.1</a> <dt>RespectsOne <a href="ref/CHAP031.htm#SSEC008.2">R 31.8.2</a> <dt>RespectsScalarMultiplication <a href="ref/CHAP031.htm#SSEC010.1">R 31.10.1</a> <dt>RespectsZero <a href="ref/CHAP031.htm#SSEC009.3">R 31.9.3</a> <dt>RestoreStateRandom <a href="ref/CHAP028.htm#SSEC006.2">R 28.6.2</a> <dt>Restricted and Induced Class Functions <a href="ref/CHAP070.htm#SECT009">R 70.9</a> <dt>Restricted Lie algebras <a href="ref/CHAP061.htm#SECT008">R 61.8</a> <dt>RestrictedClassFunction <a href="ref/CHAP070.htm#SSEC009.1">R 70.9.1</a> <dt>RestrictedClassFunctions <a href="ref/CHAP070.htm#SSEC009.2">R 70.9.2</a> <dt>RestrictedMapping <a href="ref/CHAP031.htm#SSEC001.12">R 31.1.12</a> <dt>RestrictedPartitions <a href="ref/CHAP017.htm#SSEC002.21">R 17.2.21</a> <dt>RestrictedPerm <a href="ref/CHAP040.htm#SSEC004.4">R 40.4.4</a> <dt>RestrictedPermNC <a href="ref/CHAP040.htm#SSEC004.4">R 40.4.4</a> <dt>RestrictedTransformation <a href="ref/CHAP052.htm#">R 52.0</a> <dt>RestrictOutputsOfSLP <a href="ref/CHAP035.htm#SSEC008.9">R 35.8.9</a> <dt>Resultant <a href="ref/CHAP064.htm#SSEC006.7">R 64.6.7</a> <dt>ResultOfStraightLineProgram <a href="ref/CHAP035.htm#SSEC008.5">R 35.8.5</a> <dt>Return <a href="ref/CHAP004.htm#SECT023">R 4.23</a> <dt>return <a href="ref/CHAP006.htm#I9">R 6.4</a> <dt>return, no value <a href="ref/CHAP004.htm#SSEC023.1">R 4.23.1</a> <dt>return, with value <a href="ref/CHAP004.htm#SSEC023.2">R 4.23.2</a> <dt>return from break loop <a href="ref/CHAP006.htm#SSEC004.2">R 6.4.2</a> <dt>ReturnFail <a href="ref/CHAP005.htm#SSEC003.3">R 5.3.3</a> <dt>ReturnFalse <a href="ref/CHAP005.htm#SSEC003.2">R 5.3.2</a> <dt>ReturnTrue <a href="ref/CHAP005.htm#SSEC003.1">R 5.3.1</a> <dt>Reversed <a href="ref/CHAP021.htm#SSEC020.7">R 21.20.7</a> <dt>RewindStream <a href="ref/CHAP010.htm#SSEC003.9">R 10.3.9</a> <dt>RewriteWord <a href="ref/CHAP045.htm#SSEC008.4">R 45.8.4</a> <dt>Rewriting in Groups and Monoids <a href="ref/CHAP036.htm#SECT004">R 36.4</a> <dt>Rewriting Systems <a href="ref/CHAP036.htm">R 36.0</a> <dt>Rewriting Systems and the Knuth-Bendix Procedure <a href="ref/CHAP051.htm#SECT005">R 51.5</a> <dt>right cosets <a href="ref/CHAP037.htm#I3">R 37.7</a> <dt>right transversal <a href="tut/CHAP005.htm#I4">T 5.2</a> <dt>RightActingAlgebra <a href="ref/CHAP060.htm#SSEC010.12">R 60.10.12</a> <dt>RightActingRingOfIdeal <a href="ref/CHAP054.htm#SSEC002.10">R 54.2.10</a> <dt>RightAlgebraModule <a href="ref/CHAP060.htm#SSEC010.5">R 60.10.5</a> <dt>RightAlgebraModuleByGenerators <a href="ref/CHAP060.htm#SSEC010.2">R 60.10.2</a> <dt>RightCoset <a href="ref/CHAP037.htm#SSEC007.1">R 37.7.1</a> <dt>RightCosets <a href="ref/CHAP037.htm#SSEC007.2">R 37.7.2</a> <dt>RightCosetsNC <a href="ref/CHAP037.htm#SSEC007.2">R 37.7.2</a> <dt>RightDerivations <a href="ref/CHAP061.htm#SSEC002.5">R 61.2.5</a> <dt>RightIdeal <a href="ref/CHAP054.htm#SSEC002.1">R 54.2.1</a> <dt>RightIdealByGenerators <a href="ref/CHAP054.htm#SSEC002.6">R 54.2.6</a> <dt>RightIdealNC <a href="ref/CHAP054.htm#SSEC002.2">R 54.2.2</a> <dt>RightModuleByHomomorphismToMatAlg <a href="ref/CHAP060.htm#SSEC010.18">R 60.10.18</a> <dt>RightShiftRowVector <a href="ref/CHAP023.htm#SSEC004.2">R 23.4.2</a> <dt>RightTransversal <a href="ref/CHAP037.htm#SSEC008.1">R 37.8.1</a> <dt>Ring <a href="ref/CHAP054.htm#SSEC001.2">R 54.1.2</a> <dt>Ring Homomorphisms <a href="ref/CHAP031.htm#SECT011">R 31.11</a> <dt>RingByGenerators <a href="ref/CHAP054.htm#SSEC001.4">R 54.1.4</a> <dt>Rings <a href="ref/CHAP054.htm">R 54.0</a> <dt>Rings With One <a href="ref/CHAP054.htm#SECT003">R 54.3</a> <dt>RingWithOne <a href="ref/CHAP054.htm#SSEC003.2">R 54.3.2</a> <dt>RingWithOneByGenerators <a href="ref/CHAP054.htm#SSEC003.3">R 54.3.3</a> <dt>RNamObj <a href="ref/CHAP027.htm#SSEC006.2">R 27.6.2</a> <dt>root, of 1 modulo an integer <a href="ref/CHAP015.htm#I18">R 15.3</a> <dt>root, of an integer <a href="ref/CHAP014.htm#I2">R 14.1</a> <dt>root, of an integer modulo another <a href="ref/CHAP015.htm#I16">R 15.3</a> <dt>root, of an integer, smallest <a href="ref/CHAP014.htm#I4">R 14.1</a> <dt>RootInt <a href="ref/CHAP014.htm#SSEC001.9">R 14.1.9</a> <dt>RootMod <a href="ref/CHAP015.htm#SSEC003.3">R 15.3.3</a> <dt>RootOfDefiningPolynomial <a href="ref/CHAP056.htm#SSEC002.8">R 56.2.8</a> <dt>Roots Modulo Integers <a href="ref/CHAP015.htm#SECT003">R 15.3</a> <dt>roots of unity <a href="ref/CHAP018.htm#I3">R 18.1</a> <dt>RootsMod <a href="ref/CHAP015.htm#SSEC003.4">R 15.3.4</a> <dt>RootsOfUPol <a href="ref/CHAP064.htm#SSEC005.4">R 64.5.4</a> <dt>RootsUnityMod <a href="ref/CHAP015.htm#SSEC003.5">R 15.3.5</a> <dt>RootSystem <a href="ref/CHAP061.htm#SSEC007.5">R 61.7.5</a> <dt>RoundCyc <a href="ref/CHAP018.htm#SSEC001.7">R 18.1.7</a> <dt>Row and Matrix Spaces <a href="ref/CHAP059.htm#SECT008">R 59.8</a> <dt>row spaces <a href="ref/CHAP059.htm#I0">R 59.8</a> <dt>Row Vectors <a href="ref/CHAP023.htm">R 23.0</a> <dt>Row Vectors over Finite Fields <a href="ref/CHAP023.htm#SECT002">R 23.2</a> <dt>RowIndexOfReesMatrixSemigroupElement <a href="ref/CHAP049.htm#SSEC006.8">R 49.6.8</a> <dt>RowIndexOfReesZeroMatrixSemigroupElement <a href="ref/CHAP049.htm#SSEC006.8">R 49.6.8</a> <dt>Rules <a href="ref/CHAP036.htm#SSEC001.2">R 36.1.2</a> <dt>Running GAP <a href="ref/CHAP003.htm">R 3.0</a> <dt>Running GAP under MacOS <a href="ref/CHAP003.htm#SECT003">R 3.3</a> <dt>Runtime <a href="ref/CHAP007.htm#SSEC006.2">R 7.6.2</a> <dt>Runtimes <a href="ref/CHAP007.htm#SSEC006.1">R 7.6.1</a> </dl><p> [<a href="../index.html">Top</a>] [<a href="chapters.htm">Up</a>] <p><P> <address>GAP 4 manual<br></address> </body></html>
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