ON p-NILPOTENCY OF FINITE GROUPS WITH SOME m-EMBEDDED SUBGROUPS
A subgroup H of a finite group G is said to be m-embedded subgroup in G if G has a subnormal subgroup T and a -embedded subgroup C in G such that and In this paper, we investigate the structure of G under the assumption that some subgroups of P are m-embedded in G, and some new criteria are obtained.
p-nilpotent group, Sylow subgroup, m-embedded subgroup.