The Influence Of C~*-Normal Subgroups On The Structure Of Finite Groups

In this paper,we study the relationship between the structure of finite groups and the c~*-normality of some subgroups.The main results are the following:(1)We obtain some sufficient conditions on p-nilpotency of finite groups by the c~*-normality of some maximal subgroups of Sylow subgroups and 2-maximal subgroups of Sylow subgroups. Meanwhile,we get some results about formation.(2)We obtain some sufficient conditions on p-nilpotency of finite groups by the c~*-normality of some minimal subgroups,cyclic subgroups of order 4 and subgroups of order p~2 Meanwhile, we get some results about formation.