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Cayley table

Named after the 19th-century British mathematician Arthur Cayley, a Cayley table describes the structure of a finite group by arranging all the possible products of all the group's elements in a square table reminiscent of an addition or multiplication table. Many properties of a group – such as whether or not it is abelian, which elements are inverses…

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Properties and uses

CommutativeIf and only ifSymmetricCyclic groupDihedral group of order 6
14 related topics

Permutation matrix generation

Permutation matricesKronecker deltaPermutation group
3 related topics

Structure and layout

Binary operation
1 related topics

Generalizations

Semigroups
1 related topics

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Overview

Structure and layout

Properties and uses

Permutation matrix generation

Generalizations

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Map overview Semantic statistics

Cayley table

Nodes35
Edges34
Triples45
Avg. degree1.94
Density0.057143
Components1

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Cayley table

Top relations

related to Permutations · 12
Cayley table → An, Because, But, Cayley, Exactly, If, The, Then, Therefore, This, Thus, To
related to Permutation matrix generation · 9
Cayley table → Another, Cayley, D3, Here, In, Kronecker, Note, The, This
related to Associativity · 6
Cayley table → Because, Cayley, However, Light's, This, Unfortunately
related to Commutativity · 5
Cayley table → Because, Cayley, In, The, The Cayley
related to history · 5
Cayley table → Cayley, Cayley's, Groups, In, On The Theory
related to Structure and layout · 4
Cayley table → Because, Cayley, For, In
related to Generalizations · 3
Cayley table → Cayley, It, The
is a · 1
Cayley table → one for the group

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Important terminology

cayley group table row column element elements tables groups abelian example associativity properties multiplication permutation operation order finite group's us

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Cayley tableis aone for the group0.90text
Cayley tablerelated to AssociativityBecause0.60section
Cayley tablerelated to AssociativityCayley0.60section
Cayley tablerelated to AssociativityHowever0.60section
Cayley tablerelated to AssociativityUnfortunately0.60section
Cayley tablerelated to AssociativityThis0.60section
Cayley tablerelated to AssociativityLight's0.60section
Cayley tablerelated to CommutativityThe Cayley0.60section
Cayley tablerelated to CommutativityBecause0.60section
Cayley tablerelated to CommutativityCayley0.60section
Cayley tablerelated to CommutativityThe0.60section
Cayley tablerelated to CommutativityIn0.60section

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