Transitively normal subgroup
id:
transitively-normal-subgroup-297-5008589
title:
Transitively normal subgroup
text:
In mathematics, in the field of group theory, a subgroup of a group is said to be transitively normal in the group if every normal subgroup of the subgroup is also normal in the whole group. In symbols, H is a transitively normal subgroup of G if for every K normal in H , we have that K is normal in G . An alternate way to characterize these subgroups is: every normal subgroup preserving automorphism of the whole group must restrict to a normal subgroup preserving automorphism of the subgroup. H
brand slug:
wiki
category slug:
encyclopedia
description:
Property of a subgroup in mathematics
original url:
https://en.wikipedia.org/wiki/Transitively_normal_subgroup
date created:
date modified:
2024-04-07T19:38:59Z
main entity:
{"identifier":"Q7834485","url":"https://www.wikidata.org/entity/Q7834485"}
image:
fields total:
13
integrity:
14