# The GAP 4 Manual - Full Index O

_ 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

O, Operation mark-up E 2.5
O_p(G), see PCore R 37.11
ObjByExtRep R 61.13.7
ObjByExtRep P 3.15.1
Objectify P 3.8.1
ObjectifyWithAttributes P 3.8.2
Objects R 12.1
objects T 2.5
objects, vs. elements T 2.6
objects, vs. variables T 2.5
Objects and Elements R 12.0
Objects vs. Elements T 2.6
obsolete R 75.0
OCOneCocycles R 37.23.3
octal character codes R 26.1
OctaveAlgebra R 60.4.3
od R 4.19
OldGeneratorsOfPresentation R 46.10.2
Omega R 37.14.1
ONanScottType R 41.4.1
OnBreak R 6.3.3
OnBreakMessage R 6.3.4
One R 30.10.2
One N 4.2.5
one cohomology R 37.23
OneAttr R 30.10.2
OneCoboundaries R 37.23.2
OneCocycles R 37.23.1
OneFactorBound R 64.11.8
OneImmutable R 30.10.2
OneIrreducibleSolvableGroup R 48.11.4
OneLibraryGroup R 48.5.2
OneMutable R 30.10.2
OneOfPcgs R 43.4.6
OneOp R 30.10.2
OnePrimitiveGroup R 48.5
OneSameMutability R 30.10.2
OneSM R 30.10.2
OneSmallGroup R 48.7.3
OneTransitiveGroup R 48.5
OnIndeterminates R 64.7.2
OnIndeterminates, as a permutation action R 39.2.13
OnLeftInverse R 39.2.3
OnLines R 39.2.12
OnLines, example R 48.2
OnPairs R 39.2.6
OnPoints R 39.2.1
OnRight R 39.2.2
OnSets R 39.2.4
OnSetsDisjointSets R 39.2.8
OnSetsSets R 39.2.7
OnSetsTuples R 39.2.9
OnSubspacesByCanonicalBasis R 39.2.15
OnTuples R 39.2.5
OnTuplesSets R 39.2.10
OnTuplesTuples R 39.2.11
Operation R 75.1
operation P 2.0
Operation Functions E 6.3
Operational Structure of Domains R 30.1
OperationAlgebraHomomorphism R 60.9.8
OperationHomomorphism R 75.1
operations, for booleans R 20.3
operations T 8.4
Operations and Attributes for Vector Spaces R 59.2
Operations and Mathematical Terms P 2.8
Operations and Method Selection T 8.4
Operations and Methods T 8.0
Operations and Methods P 2.1
Operations applicable to All Streams R 10.2
Operations Concerning Blocks R 69.9
Operations for (Near-)Additive Magmas R 53.4
Operations for Abelian Number Fields R 58.2
Operations for algebraic elements R 65.2
Operations for Associative Words R 35.4
Operations for Associative Words by their Syllables R 35.5
Operations for Booleans R 20.3
Operations for Brauer Characters R 70.15
Operations for Class Functions R 70.8
Operations for Collections R 28.4
Operations for Cyclotomics R 18.1
Operations for Domains R 30.9
Operations for Finite Field Elements R 57.2
Operations for Finitely Presented Groups R 45.4
Operations for Group Homomorphisms R 38.2
Operations for Input Streams R 10.3
Operations for Lists R 21.20
Operations for Output Streams R 10.4
Operations for Pc Groups R 44.7
Operations for Rational Functions R 64.2
Operations for Special Kinds of Bases R 59.6
Operations for Stabilizer Chains R 41.9
Operations for Vector Space Bases R 59.5
Operations for Words R 34.3
Operations on elements of the algebra R 36.2
Operations on hom cosets N 3.2
Operations on rewriting systems R 36.1
Operations Records T 9.10
Operations to Evaluate Strings R 26.7
Operations to Produce or Manipulate Strings R 26.5
Operations vs. Dispatcher Functions T 9.11
Operations which have Special Methods for Groups with Pcgs R 43.16
operators R 4.7
operators, arithmetic R 4.12
operators, associativity R 4.12
operators, for cyclotomics R 18.3
operators, for lists R 21.11
operators, precedence R 4.11 R 4.12
operators T 2.4
Operators for Character Tables R 69.7
Operators for Matrices R 24.2
Operators for Row Vectors R 23.1
Optimization and Compiler Options R 73.12
options, command line, filenames R 3.1
options, command line, internal R 3.2
options, under UNIX R 3.1
options R 3.0 R 73.0
Options Stack R 8.0
or R 20.3.1
Orbit R 39.3.1
Orbit T 9.3.1
Orbit Stabilizer Methods for Polycyclic Groups R 43.15
OrbitFusions R 71.2.7
OrbitGenerators N 4.2.2
OrbitGeneratorsInv N 4.2.3
OrbitGeneratorsOfGroup N 5.1.5
OrbitishFO E 6.3.2
OrbitLength R 39.3.4
OrbitLengths R 39.3.5
OrbitLengthsDomain R 39.3.6
OrbitPerms R 41.1.1
OrbitPowerMaps R 71.1.5
Orbits R 39.3
Orbits, operation/attribute R 39.3.2
Orbits E 6.3
OrbitsDomain R 39.3.3
OrbitsishOperation E 6.3.1
OrbitsPerms R 41.1.2
OrbitStabChain R 41.9.6
OrbitStabilizer R 39.4.1
OrbitStabilizerAlgorithm R 39.4.3
Order R 30.10.10
order, of a group R 37.1
Order, of a class function R 70.4
order, of a list, collection or domain R 28.3
order, of the prime residue group R 15.1
Order T 9.3.2
ordered partitions, internal representation E 8.2
OrderedPartitions R 17.2.17
ordering, booleans R 20.2.2
ordering, of records R 27.4.2
OrderingByLessThanFunctionNC R 29.1.1
OrderingByLessThanOrEqualFunctionNC R 29.1.2
OrderingOfRewritingSystem R 36.1.3
OrderingOnGenerators R 29.3.4
Orderings R 29.0
Orderings on families of associative words R 29.3
OrderingsFamily R 29.0
OrderMod R 15.2.1
OrderOfRewritingSystem R 36.1.3
OrdersClassRepresentatives R 69.8.5
OrdersTom R 68.7.2
Ordinal R 26.7.2
ordinary character R 70.8
OrdinaryCharacterTable R 69.8.4
Orthogonal Embeddings R 25.6
OrthogonalComponents R 70.11.4
OrthogonalEmbeddings R 25.6.1
OrthogonalEmbeddingsSpecialDimension R 70.10.6
OSX R 73.14
Other Filters R 13.8
Other Operations Applicable to any Object R 12.8
Other Operations for Character Tables R 69.10
Other Operations for Tables of Marks R 68.9
output, suppressing R 6.1
OutputLogTo R 9.7.9
OutputLogTo, for streams R 10.4.7
OutputLogTo, stop logging output R 9.7.10
OutputTextFile R 10.5.2
OutputTextNone R 10.9.2
OutputTextString R 10.7.2
OutputTextUser R 10.6.2
overload P 2.8

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