半覆盖远离性与有限群的结构

上海大学学报(自然科学版)

半覆盖远离性与有限群的结构

郭秀云，崔雅琼

上海大学理学院，上海 200444

收稿日期:2007-03-21 修回日期:1900-01-01 出版日期:2008-06-30 发布日期:2008-06-30
通讯作者: 郭秀云

Semi Cover-Avoiding Property and Structure of Finite Groups

GUO Xiu-yun,CUI Ya-qiong

College of Sciences, Shanghai University, Shanghai 200444, China

Received:2007-03-21 Revised:1900-01-01 Online:2008-06-30 Published:2008-06-30
Contact: GUO Xiu-yun

摘要/Abstract

摘要： 利用Sylow子群的极大子群或者具有半覆盖远离性或者半正规，给出了有限群为超可解群的一些充分条件,推广了几个已有的结果.

关键词: 半覆盖远离性, 半正规性, 超可解

Abstract: In this paper, several sufficient conditions for a finite group to be supersolvable are given by means of maximal subgroups of Sylow subgroups having either semi cover-avoiding property or seminormal property, and several known results are generalized.

Key words: semi-normal property, supersolvable subgroups
, semi cover-avoiding property

中图分类号:

O 152.1

郭秀云;崔雅琼. 半覆盖远离性与有限群的结构[J]. 上海大学学报(自然科学版).

GUO Xiu-yun;CUI Ya-qiong.

Semi Cover-Avoiding Property and Structure of Finite Groups

[J]. Journal of Shanghai University（Natural Science Edition）.

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