| 共轭置换子群对有限群可解性的影响 |
| |
| 引用本文： | 孔庆军.共轭置换子群对有限群可解性的影响[J].商丘师范学院学报,2007,23(6):13-14. |
| |
| 作者姓名： | 孔庆军 |
| |
| 作者单位： | 上海大学,理学院,上海,200444 |
| |
| 基金项目： | 国家自然科学基金;上海市自然科学基金;上海市教委资助项目 |
| |
| 摘 要： | 群G的子群H称为G的共轭置换子群,若H^gH=HH^g,对任意g∈G都成立.利用共轭置换子群的定义和性质给出了有限群成为可解群的几个充分条件.
|
| 关 键 词： | 共轭置换子群 可解群 超可解群 |
| 文章编号： | 1672-3600（2007）06-0013-02 |
| 收稿时间： | 2006-09-27 |
| 修稿时间： | 2006-09-27 |
The influence of conjugate-permutable subgroups on the solvability of finite groups |
| |
| KONG Qing-jun.The influence of conjugate-permutable subgroups on the solvability of finite groups[J].Journal of Shangqiu Teachers College,2007,23(6):13-14. |
| |
| Authors: | KONG Qing-jun |
| |
| Institution: | College of Sciences, Shanghai University, Shanghai 200444, China |
| |
| Abstract: | A subgroup H of a group G is called conjugate-permutable in G,if it is permutable with all conjugate subgroups of H.In this paper,utilizing definition and properties of conjugate-permutable subgroups,we give some sufficient conditions for solvability of finite groups. |
| |
| Keywords: | conjugate-permutable subgroups solvable group supersolvable group |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
