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Permutation representation

In mathematics, the term permutation representation of a (typically finite) group G {\displaystyle G} can refer to either of two closely related notions: a representation of G {\displaystyle G} as a group of permutations, or as a group of permutation matrices. The term also refers to the combination of the two.

Characters, Abstract permutation representation & Character of the permutation representation

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Abstract permutation representation

SetHomomorphismSymmetric groupPermutation groupGroup action
5 related topics

Character of the permutation representation

Character
1 related topics

Linear permutation representation

Linear representationPermutation matrixFieldRegular representation
4 related topics

Overview

MathematicsGroupRepresentationPermutationsPermutation matrices
5 related topics

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Overview

Abstract permutation representation

Linear permutation representation

Character of the permutation representation

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Permutation representation

Nodes20
Edges19
Triples10
Avg. degree1.9
Density0.1
Components1

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Permutation representation

Top relations

related to Character of the permutation representation · 6
Permutation representation → An, Given, Now, So, That, This
related to Abstract permutation representation · 2
Permutation representation → Sym, The
related to Linear permutation representation · 2
Permutation representation → If, That

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Important terminology

permutation displaystyle representation group matrix character fixed rho number points term two set permutations one chi finite matrices abstract linear

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Permutation representationrelated to Abstract permutation representationThe0.60section
Permutation representationrelated to Abstract permutation representationSym0.60section
Permutation representationrelated to Character of the permutation representationGiven0.60section
Permutation representationrelated to Character of the permutation representationThat0.60section
Permutation representationrelated to Character of the permutation representationThis0.60section
Permutation representationrelated to Character of the permutation representationNow0.60section
Permutation representationrelated to Character of the permutation representationAn0.60section
Permutation representationrelated to Character of the permutation representationSo0.60section
Permutation representationrelated to Linear permutation representationIf0.60section
Permutation representationrelated to Linear permutation representationThat0.60section

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