Direct sum of groups
id:
direct-sum-of-groups-195-1507275
title:
Direct sum of groups
text:
In mathematics, a group G is called the direct sum of two normal subgroups with trivial intersection if it is generated by the subgroups. In abstract algebra, this method of construction of groups can be generalized to direct sums of vector spaces, modules, and other structures; see the article direct sum of modules for more information. A group which can be expressed as a direct sum of non-trivial subgroups is called decomposable, and if a group cannot be expressed as such a direct sum then it
brand slug:
wiki
category slug:
encyclopedia
description:
Means of constructing a group from two subgroups
original url:
https://en.wikipedia.org/wiki/Direct_sum_of_groups
date created:
date modified:
2022-04-19T02:43:33Z
main entity:
{"identifier":"Q4166523","url":"https://www.wikidata.org/entity/Q4166523"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/5/5f/Cyclic_group.svg","width":443,"height":431}
fields total:
13
integrity:
15