The Influence Of Weakly S-Permutable Properties Of Subgroups On The Structure Of Finite Groups

In this paper,we study the structure of finite groups with weakly s-permutable properties of some subgroups.The main results are the following:(1) We obtain some sufficient conditions on p-nilpotency of finite groups by using the weakly s-permutable properties of some maximal subgroups of a Sylow subgroup in its normalizer.Meanwhile,we get some results about certain formation.(2) We obtain some sufficient conditions on p-nilpotency of finite groups by the weakly s-permutable of some maximal subgroups of Sylow subgroups and 2-maximal subgroups of Sylow subgroups.Those results are generalization of recent results in this aspect.