Maximal subgroup
id:
maximal-subgroup-276-8450386
title:
Maximal subgroup
text:
In mathematics, the term maximal subgroup is used to mean slightly different things in different areas of algebra. In group theory, a maximal subgroup H of a group G is a proper subgroup, such that no proper subgroup K contains H strictly. In other words, H is a maximal element of the partially ordered set of subgroups of G that are not equal to G. Maximal subgroups are of interest because of their direct connection with primitive permutation representations of G. They are also much studied for
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wiki
category slug:
encyclopedia
description:
Term in mathematics
original url:
https://en.wikipedia.org/wiki/Maximal_subgroup
date created:
date modified:
2023-11-15T22:49:28Z
main entity:
{"identifier":"Q16908484","url":"https://www.wikidata.org/entity/Q16908484"}
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fields total:
13
integrity:
14