A note on m-embedded subgroups of finite groups

Abstract

Let A be a subgroup of G. A is m-embedded in G if G has a subnormal subgroup T and a {1 ≤ G}- embedded subgroup C such that G = AT and T ∩A ≤ C ≤A. In this paper,we study the structure of finite groups by using m-embedded subgroups and obtain some new results about p-supersolvability and p-nilpotency of finite groups.