Permutable subnormal subgroup
From Groupprops
This page describes a subgroup property obtained as a conjunction (AND) of two (or more) more fundamental subgroup properties: permutable subgroup and subnormal subgroup
View other subgroup property conjunctions | view all subgroup properties
Contents
Definition
A subgroup of a group is termed a permutable subnormal subgroup if it is both a permutable subgroup and a subnormal subgroup.
Note that since permutable implies subnormal in finite, any permutable subgroup of finite group is a permutable subnormal subgroup.