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G-module

In mathematics, given a group G {\displaystyle G} , a G-module is an abelian group M {\displaystyle M} on which G {\displaystyle G} acts compatibly with the abelian group structure on M {\displaystyle M} . This widely applicable notion generalizes that of a representation of G. Group (co)homology provides an important set of tools for studying general G…

Definition and basics, Examples & Topological groups

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Topological groups

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G-module

Nodes28
Edges27
Triples3
Avg. degree1.93
Density0.071429
Components1

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G-module

Top relations

related to Topological groups · 2
G-module → If, In
is a · 1
G-module → abelian group M

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Important terminology

displaystyle group -module abelian action cdot given -modules acts left right mathbb notion general topological mathematics times rightarrow map category

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
G-moduleis aabelian group M0.90text
G-modulerelated to Topological groupsIf0.60section
G-modulerelated to Topological groupsIn0.60section

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    Min side: 3
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