摘要
本文研究了有限群的p-超可解性,利用子群的s-条件置换性及Sylow子群的极大子群对有限群结构的影响,得到了一个群为p-超可解群的一些充分必要条件.
In this paper, we research p-supersolubility of finite groups, by using the s-condition permutablity of subgroups and the influence of the maximal subgroups of Sylow subgroups to the structure of a finite group. We get some necessary and sufficient condition of a finite group's p-supersolublity.
出处
《数学杂志》
CSCD
北大核心
2007年第5期563-568,共6页
Journal of Mathematics
关键词
s-条件置换
极大子群
P-超可解群
s-Condition permutable
Maximal subgroup
p-supersoluble group