Automorphism-faithful AEP-subgroup

This page describes a subgroup property obtained as a conjunction (AND) of two (or more) more fundamental subgroup properties: automorphism-faithful subgroup and AEP-subgroup
View other subgroup property conjunctions | view all subgroup properties

Definition

A subgroup $H$ of a group $G$ is termed an automorphism-faithful AEP-subgroup if for every automorphism of $H$, there is a unique automorphism of $G$ whose restriction to $H$ is that particular automorphism.

Relation with other properties

Weaker properties

• Sectionally AEP-subgroup
• AEP-subgroup