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Group extension

In mathematics, a group extension is a general means of describing a group in terms of a particular normal subgroup and quotient group. If Q {\displaystyle Q} and N {\displaystyle N} are two groups, then G {\displaystyle G} is an extension of Q {\displaystyle Q} by N {\displaystyle N} if there is a short exact sequence

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Extensions in general

Central extension

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Group extension

Nodes65
Edges64
Triples6
Avg. degree1.97
Density0.030769
Components1

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Group extension

Top relations

related to Extensions in general · 5
Group extension → Ext, Group, If, One, Several
is a · 1
Group extension → general means of describing a group in terms of a particular normal subgroup and quotient group

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Important terminology

displaystyle extension group extensions groups central subgroup lie general problem theory sequence quotient finite normal simple isomorphic center covering exact

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Group extensionis ageneral means of describing a group in terms of a particular normal subgroup and quotient group0.90text
Group extensionrelated to Extensions in generalOne0.60section
Group extensionrelated to Extensions in generalIf0.60section
Group extensionrelated to Extensions in generalExt0.60section
Group extensionrelated to Extensions in generalSeveral0.60section
Group extensionrelated to Extensions in generalGroup0.60section

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