P-normal-extensible automorphism-invariant subgroup

Definition
A subgroup of a p-group is termed a p-normal-extensible automorphism-invariant subgroup if it is invariant under all the p-normal-extensible automorphisms of the whole group.

Stronger properties

 * Weaker than::Characteristic subgroup of p-group
 * Weaker than::Normal-extensible automorphism-invariant subgroup of p-group

Weaker properties

 * Stronger than::Normal subgroup of p-group