Group whose center is an AEP-subgroup

Definition
A group whose center is an AEP-subgroup is a group whose defining ingredient::center is an defining ingredient::AEP-subgroup: every automorphism of the center extends to an automorphism of the whole group.

Stronger properties

 * Weaker than::Centerless group
 * Weaker than::Abelian group
 * Weaker than::Group whose center is a direct factor

Weaker properties

 * Stronger than::Group having an automorphism whose restriction to the center is the inverse map