Normal AEP-subgroup

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.

Stronger properties

 * Weaker than::Direct factor
 * Weaker than::NSCFN-subgroup
 * Weaker than::Normal fully normalized subgroup
 * Weaker than::Characteristic AEP-subgroup

Weaker properties

 * Stronger than::Normal subgroup in which every subgroup characteristic in the whole group is characteristic
 * Stronger than::Normal subgroup
 * Stronger than::Subgroup in which every subgroup characteristic in the whole group is characteristic