C-normal subgroup

id: c-normal-subgroup-321-17104624
title: C-normal subgroup
text: In mathematics, in the field of group theory, a subgroup H of a group G is called c-normal if there is a normal subgroup T of G such that H T = G and the intersection of H and T lies inside the normal core of H . For a weakly c-normal subgroup, we only require T to be subnormal. Here are some facts about c-normal subgroups: Every normal subgroup is c-normal Every retract is c-normal Every c-normal subgroup is weakly c-normal
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original url: https://en.wikipedia.org/wiki/C-normal_subgroup
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date modified: 2023-10-01T22:11:25Z
main entity: {"identifier":"Q5015134","url":"https://www.wikidata.org/entity/Q5015134"}
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