The GAP 4 Reference Manual - Index M

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Macintosh 72.11

MacOS 72.11

Magma 32.2

Magma Categories 32.1

Magma Generation 32.2

Magma Homomorphisms 30.7

Magma Rings 61.0

Magma Rings modulo Relations 61.4

Magma Rings modulo the Span of a Zero Element 61.5

MagmaByGenerators 32.2

MagmaByMultiplicationTable 32.3

MagmaElement 32.3

MagmaHomomorphismByFunctionNC 30.7

MagmaRingModuloSpanOfZero 61.5

Magmas 32.0

Magmas Defined by Multiplication Tables 32.3

MagmaWithInverses 32.2

MagmaWithInversesByGenerators 32.2

MagmaWithInversesByMultiplicationTable 32.3

MagmaWithOne 32.2

MagmaWithOneByGenerators 32.2

MagmaWithOneByMultiplicationTable 32.3

Main Loop 6.1

Main Loop and Break Loop 6.0

MakeConfluent 35.1

MakeImmutable 12.6

MAKElb11 67.20

MakeReadOnlyGlobal 4.9

MakeReadWriteGlobal 4.9

Making transformation semigroups 48.1

Manual Conventions 1.1

map, parametrized 69.3

MappedWord 33.3

MappingByFunction 30.1

MappingPermListList 39.4

Mappings 30.0

Mappings that Respect Addition 30.9

Mappings that Respect Multiplication 30.8

Mappings which are Compatible with Algebraic Structures 30.6

maps 69.0

Maps Concerning Character Tables 69.0

MarksTom 66.7

MatAlgebra 59.4

MatClassMultCoeffsCharTable 67.9

MathieuGroup 47.1

MatLieAlgebra 60.2

Matrices 24.0

Matrices as Basis of a Row Space 24.10

Matrices as Linear Mappings 24.12

Matrices over Finite Fields 24.13

Matrices Representing Linear Equations and the Gaussian Algorithm 24.6

matrix automorphisms 69.1

Matrix Constructions 24.4

matrix from scalar, subtraction 24.2

Matrix Groups 41.0

Matrix Groups in Characteristic 0 41.4

matrix spaces 58.8

matrix, addition 24.2

matrix, subtraction 24.2

MatrixAlgebra 59.4

MatrixAutomorphisms 67.18

MatrixByBlockMatrix 24.14

MatrixLieAlgebra 60.2

MatrixOfAction 59.10

MatScalarProducts 68.8

MatTom 66.7

Maxes 71.2

MaximalAbelianQuotient 44.10

MaximalBlocks 38.9

MaximalNormalSubgroups 36.18

MaximalSubgroupClassReps 36.18

MaximalSubgroups 36.18

MaximalSubgroupsLattice 36.19

MaximalSubgroupsTom 66.9

Maximum 21.16

MaximumList 21.16

MeatAxe Modules 65.1

MeetMaps 69.3

Membership Test for Collections 28.5

Membership Test for Lists 21.8

Minimal Nonmonomial Groups 70.4

Minimal Polynomials 62.8

MinimalElementCosetStabChain 40.9

MinimalGeneratingSet 36.21

MinimalNonmonomialGroup 70.4

MinimalPolynomial 55.3 62.8

MinimalStabChain 40.7

MinimalSupergroupsLattice 36.19

MinimalSupergroupsTom 66.9

MinimizedBombieriNorm 62.11

Minimum 21.16

MinimumList 21.16

MinusCharacter 69.4

Miscellaneous 15.5

mN 18.4

MOCChars 67.20

MOCString 67.20

MOCTable 67.20

mod, for character tables 67.6

mod, for Integers 14.4

modular roots 15.3

Module Homomorphisms 65.7

ModuleByRestriction 59.10

Modules 54.0

Modules over Lie Algebras and Their Cohomology 60.12

Modules over Semisimple Lie Algebras 60.13

modulo 4.12

modulo, for pcgs 42.9

ModuloPcgs 42.9

MoebiusMu 15.4

MoebiusTom 66.7

Molien Series 68.12

MolienSeries 68.12

MolienSeriesInfo 68.12

MolienSeriesWithGivenDenominator 68.12

Monoid 49.0

MonoidByGenerators 49.0

MonoidByMultiplicationTable 49.0

Monoids 49.0

Monomiality Questions 70.0

MonomialRevLexicoLess 62.15

MonomialTotalDegreeLess 62.15

monomorphisms, find all 37.8

MorClassLoop 37.8

More about Boolean Lists 22.4

More About Global Variables 4.9

More about Tables of Marks 66.1

MostFrequentGeneratorFpGroup 44.5

Moved Points of Permutations 39.2

MovedPoints 39.2

MTX.BasesCompositionSeries 65.5

MTX.BasesMaximalSubmodules 65.5

MTX.BasesMinimalSubmodules 65.5

MTX.BasesMinimalSupermodules 65.5

MTX.BasesSubmodules 65.5

MTX.CollectedFactors 65.5

MTX.CompositionFactors 65.5

MTX.DegreeSplittingField 65.4

MTX.Dimension 65.3

MTX.Distinguish 65.7

MTX.Field 65.3

MTX.Generators 65.3

MTX.Homomorphisms 65.7

MTX.InducedAction 65.6

MTX.InducedActionFactorModule 65.6

MTX.InducedActionSubmodule 65.6

MTX.InducedActionSubmoduleNB 65.6

MTX.IsAbsolutelyIrreducible 65.4

MTX.IsEquivalent 65.7

MTX.IsIrreducible 65.4

MTX.Isomorphism 65.7

MTX.ProperSubmoduleBasis 65.5

multiplication 4.12

multiplication, operation 29.11

MultiplicationTable 32.3

Multiplicative Arithmetic Functions 15.4

multiplicative order of an integer 15.2

MultiplicativeNeutralElement 32.4

MultiplicativeZero 32.4

MultiplicativeZeroOp 29.9

multisets 21.15

Multivariate Polynomials 62.7

MultRowVector 23.3

Murnaghan components 68.11

Mutability and Copyability 12.6

Mutable Bases 58.7

MutableBasis 58.7

MutableBasisOfClosureUnderAction 59.8

MutableBasisOfIdealInNonassociativeAlgebra 59.8

MutableBasisOfNonassociativeAlgebra 59.8

MutableIdentityMat 24.4

MutableNullMat 24.4

MutableTransposedMat 24.4

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