Coprime automorphism-invariant subgroup of group of prime power order

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This article describes a property that arises as the conjunction of a subgroup property: coprime automorphism-invariant subgroup with a group property imposed on the ambient group: group of prime power order
View a complete list of such conjunctions | View a complete list of conjunctions where the group property is imposed on the subgroup

Definition

A subgroup H of a group of prime power order (i.e., a finite p-group for some prime number p) P is termed a coprime automorphism-invariant subgroup if it is invariant under all the p'-automorphisms, i.e., the automorphisms whose order is relatively prime to p.

Relation with other properties

Stronger properties