摘要
本文旨在考查极大子群对有限群结构的影响．首先给出了商群超可解的群是超可解群的若干充分条件；
The objective of this paper is to investigate the influence of maximal subgroups on the structure of a finite group.First, we give some sufficient conditions for a finite group with asupersolvable quotient to be supersolvable. And, we investigate theinfluence of n-maximal subgroups on the solvability and supersolvability of a finite group.
出处
《数学学报（中文版）》
SCIE
CSCD
北大核心
1998年第5期949-954,共6页
Acta Mathematica Sinica：Chinese Series
基金
国家自然科学基金
山东省自然科学基金
关键词
半正规子群
超可解群
可解群
有限群
子群
Semi-normal subgroup, S-supplement,Supersolvable group, n-maximal subgroup, Solvable group
