Central subgroup
id:
central-subgroup-238-8894850
title:
Central subgroup
text:
In mathematics, in the field of group theory, a subgroup of a group is termed central if it lies inside the center of the group. Given a group G , the center of G , denoted as Z , is defined as the set of those elements of the group which commute with every element of the group. The center is a characteristic subgroup. A subgroup H of G is termed central if H ≤ Z . Central subgroups have the following properties: They are abelian groups.
They are normal subgroups. They are central factors, and a
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Central_subgroup
date created:
date modified:
2023-08-12T23:50:55Z
main entity:
{"identifier":"Q5062155","url":"https://www.wikidata.org/entity/Q5062155"}
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fields total:
13
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13