This page describes a subgroup property obtained as a conjunction (AND) of two (or more) more fundamental subgroup properties: retraction-invariant subgroup and characteristic subgroup
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A subgroup of a group is termed a retraction-invariant characteristic subgroup if it satisfies the following two conditions:
- It is a retraction-invariant subgroup, i.e., any retraction of the whole group sends the subgroup to itself.
- It is a characteristic subgroup, i.e., any automorphism of the whole group sends the subgroup to itself.
Relation with other properties