Malnormal subgroup
id:
malnormal-subgroup-301-12146849
title:
Malnormal subgroup
text:
In mathematics, in the field of group theory, a subgroup H of a group G is termed malnormal if for any x in G but not in H , H and x H x − 1 intersect in the identity element. Some facts about malnormality: An intersection of malnormal subgroups is malnormal.
Malnormality is transitive, that is, a malnormal subgroup of a malnormal subgroup is malnormal.
The trivial subgroup and the whole group are malnormal subgroups. A normal subgroup that is also malnormal must be one of these.
Every malnormal
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wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Malnormal_subgroup
date created:
date modified:
2023-08-13T10:35:09Z
main entity:
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fields total:
13
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13