某些子群是半正规的有限群  

Finite Groups Some of Whose Subgroups Are Semi-normal

作　　者：路在平[1] 王品超[1] 

机构地区：[1]曲阜师范大学数学与计算机科学系

出　　处：《数学学报（中文版）》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

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.

关 键 词：半正规子群 超可解群 可解群 有限群 子群 

分 类 号：O152.1[理学—数学]