Retraction-invariant normal subgroup
This page describes a subgroup property obtained as a conjunction (AND) of two (or more) more fundamental subgroup properties: retraction-invariant subgroup and normal subgroup
View other subgroup property conjunctions | view all subgroup properties
Definition
A subgroup of a group is termed a retraction-invariant normal subgroup if it is both a normal subgroup and a retraction-invariant subgroup.
Relation with other properties
Stronger properties
- Fully invariant subgroup
- Retraction-invariant direct factor
- Retraction-invariant central factor
- Retraction-invariant characteristic subgroup