# Normal AEP-subgroup

From Groupprops

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This page describes a subgroup property obtained as a conjunction (AND) of two (or more) more fundamental subgroup properties: normal subgroup and AEP-subgroup

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## Definition

A subgroup of a group is termed a **normal AEP-subgroup** if it is a normal subgroup as well as an AEP-subgroup: a subgroup such that every automorphism of the subgroup can be extended to an automorphism of the whole group.