中文摘要：

设G是有限群,利用G的Sylowp-子群P的极大子群在NG（P）中的弱M-可补性,结合H（P）={H≤P｜P′≤H≤Φ（P）}中元素的几乎m-嵌入性,研究G的p-幂零性、p-超可解性及超中心的结构.

英文摘要：

Let G be a finite group. Some results about p-nilpotent groups, p-supersolvable groupsand the hypercentre of finite groups are obtained by using the weakly M-supplemented properties of the maximal subgroups of P in NG （P） and the nearly m-embedded properties of the element of H（P）={H≤P｜P′≤H≤Φ（P）}, where P is a Sylow p-subgroup of G.