%0 Journal Article
%A JIA Jun
%A YI Xiao-Lan
%T New Characterization of *p*-Nilpotent Group
%D 2012
%R 10.3969/j.issn.1007-2985.2012.06.005
%J Journal of Jishou University(Natural Sciences Edition)
%P 19-21
%V 33
%N 6
%X A subgroup *H *of group *G* is said to be weakly *S*-semipermutabe in *G* if there exists a subnormal subgroup *B *of *G *such that *G=HB* and *H∩B≤H*_{ssG},where *H*_{ssG} is the maximal *S*-semipermutable subgroup of *G* contained in *H*.By using the weakly S-semipermutability of the maximal subgroups of the Sylow subgroup and combining the normalizer of Sylow subgroup,a sufficient condition for a finite group to be p-nilpotent is obtained and some recent results can be generalized.
%U https://zkxb.jsu.edu.cn/EN/10.3969/j.issn.1007-2985.2012.06.005