| 引用本文： |
-
李世荣,彭峰,白彦如.有限群的C-补和SS-拟正规子群[J].广西科学,2010,17(1):1-4. [点击复制]
- LI Shi-rong,Peng Feng,BAI Yan-ru.C-supplemented and SS-quasinormal Subgroups of Finite Groups[J].Guangxi Sciences,2010,17(1):1-4. [点击复制]
|
|
| 摘要: |
| 用Sylow子群的极大子群SS-拟正规和C-补性质来刻画一些群系.证明:若有限群G的所有极大Sylow子群是SS-拟正规的或者C-补的,那么G是p-幂零的,其中G是有限群,p是G的最小素数阶划分. |
| 关键词: SS-拟正规子群 C-补子群 极大子群 p-幂零 可解群 |
| DOI： |
| 投稿时间：2009-03-13修订日期：2009-05-31 |
| 基金项目:Supported by the Foundation of the Guangxi Autonomous Region(No.105930903070). |
|
| C-supplemented and SS-quasinormal Subgroups of Finite Groups |
|
LI Shi-rong, Peng Feng, BAI Yan-ru
|
| (School of Mathematics and Information, Guangxi University, Nanning, Guangxi, 530004, China) |
| Abstract: |
| Let G be a finite group, p the smallest prime dividing the order of G and P a Sylow p-subgroup of G.We will show that if every members of M (P) is either SS-quasinormal or C-supplemented in G, then G is p-nilpotent. |
| Key words: SS-quasinormal subgroup C-supplemented subgroup Maximal subgroup p-nilpotent solvable group |
