A formula of subgroup normality degrees with applications to the finite p-groups with cyclic subgroups of index p(2)

摘要

We give a formula for the subgroup normality degree P-N (H, G) of a subgroup H in a finite group G, and determine subgroup normality degrees in the case where G is a finite p-group of order p(5) or a finite p-group with a cyclic subgroup of index p(2).