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Groupprops β

Coprime automorphism-invariant normal subgroup of group of prime power order

Definition

A subgroup H of a group of prime power order P is termed a coprime automorphism-invariant normal subgroup if it satisfies both these conditions:

  1. It is a normal subgroup of P: in particular, it is a normal subgroup of group of prime power order.
  2. It is a coprime automorphism-invariant subgroup of P: in particular, it is a coprime automorphism-invariant subgroup of group of prime power order.

Relation with other properties