Group extension
id:
group-extension-249-5289847
title:
Group extension
text:
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 and N are two groups, then G is an extension of Q by N if there is a short exact sequence If G is an extension of Q by N , then G is a group, ι is a normal subgroup of G and the quotient group G / ι is isomorphic to the group Q . Group extensions arise in the context of the extension problem, where the groups Q and N are known and the properties of G are to
brand slug:
wiki
category slug:
encyclopedia
description:
Group for which a given group is a normal subgroup
original url:
https://en.wikipedia.org/wiki/Group_extension
date created:
date modified:
2023-10-08T00:34:50Z
main entity:
{"identifier":"Q3041173","url":"https://www.wikidata.org/entity/Q3041173"}
image:
fields total:
13
integrity:
14