Self-centralizing direct factor
This page describes a subgroup property obtained as a conjunction (AND) of two (or more) more fundamental subgroup properties: self-centralizing subgroup and direct factor
View other subgroup property conjunctions | view all subgroup properties
- It is both a self-centralizing subgroup (i.e., it contains its own centralizer) and a direct factor of the whole group.
- It is a direct factor of the whole group such that the quotient group is a centerless group.
- It is a direct factor of the whole group with a complement that is a centerless group.