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Groupprops β

Sectionally AEP-subgroup

Definition

A subgroup H of a group G is termed sectionally AEP if there exists a homomorphism of groups:

\alpha: \operatorname{Aut}(H) \to \operatorname{Aut}(G)

such that for any automorphism \sigma of H, \sigma is the restriction to H of \alpha(\sigma).

Relation with other properties