Open main menu

Groupprops β

Coprime automorphism-invariant subgroup of group of prime power order

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