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Burnside ring

In mathematics, the Burnside ring of a finite group is an algebraic construction that encodes the different ways the group can act on finite sets. The ideas were introduced by William Burnside at the end of the nineteenth century. The algebraic ring structure is a more recent development, due to Solomon (1967).

Marks, Formal definition & Extensions

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Overview

Formal definition

Marks

Examples

Permutation representations

Extensions

Advanced semantic analysis

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Map overview Semantic statistics

Burnside ring

Nodes30
Edges29
Triples15
Avg. degree1.93
Density0.066667
Components1

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Burnside ring

Top relations

related to Formal definition · 7
Burnside ring → Burnside, Cartesian, For, G-sets, Given, The Burnside, Z-module
related to Extensions · 4
Burnside ring → Burnside, Dieck, The Burnside, The Segal
related to Marks · 3
Burnside ring → Burnside, If, Much
is a · 1
Burnside ring → free Z-module

Important terminology Word statistics

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Important terminology

burnside ring finite group marks table subgroup representation given generators classes gi subgroups structure conjugate mx g-set groups algebraic permutation

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Burnside ringis afree Z-module0.90text
Burnside ringrelated to ExtensionsThe Burnside0.60section
Burnside ringrelated to ExtensionsDieck0.60section
Burnside ringrelated to ExtensionsThe Segal0.60section
Burnside ringrelated to ExtensionsBurnside0.60section
Burnside ringrelated to Formal definitionGiven0.60section
Burnside ringrelated to Formal definitionBurnside0.60section
Burnside ringrelated to Formal definitionG-sets0.60section
Burnside ringrelated to Formal definitionFor0.60section
Burnside ringrelated to Formal definitionCartesian0.60section
Burnside ringrelated to Formal definitionThe Burnside0.60section
Burnside ringrelated to Formal definitionZ-module0.60section

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    Min side: 3
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