# Automorphism-faithful AEP-subgroup

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