|
|||||
|
|
| 有关p 幂零群的刻画 | |
| 引用本文： | 张路燕,陈贵云. 有关p 幂零群的刻画[J]. 西南大学学报(自然科学版), 2012, 34(2): 066-069 |
| 作者姓名： | 张路燕 陈贵云 |
| 作者单位： | 西南大学数学与统计学院 |
| 基金项目： | 重庆自然科学基金资助项目(CSTC,2009BB8111) |
| 摘 要： | 设A是G的子群,X是G的非空子集.如果A在G中存在补T,使得A与T的每个Sylow子群都X-置换,则称A在G中X-s-半置换.研究X-s-半置换性质对群的结构的影响,并得到有关p-幂零群的一些刻画. |
| 关 键 词： | 有限群 X-s-半置换子群 p-幂零群 Sylow子群 |
Some Characterizations of p-Nilpotency for Finite Groups |
|
| ZHANG Lu-yan,CHEN Gui-yun. Some Characterizations of p-Nilpotency for Finite Groups[J]. Journal of southwest university (Natural science edition), 2012, 34(2): 066-069 | |
| Authors: | ZHANG Lu-yan CHEN Gui-yun |
| Affiliation: | School of Mathematics and Statistics,Southwest University,Chongqing 400715,China |
| Abstract: | Let A be a subgroup of group G,and X a non-empty subset of G.A is said to be X-s-semipermutable in G if A has a supplement T in G such that A is X-permutable with every Sylow subgroup of T.In this paper,the influences of X-s-semipermutability of some subgroups on the structure of finite groups are investigated.Some new criteria for group G to be p-nilpotent are obtained. |
| Keywords: | finite group X-s-semipermutable subgroup p-nilpotent group Sylow subgroup |
| 本文献已被 CNKI 等数据库收录！ | |
| 点击此处可从《西南大学学报(自然科学版)》浏览原始摘要信息 | |
| 点击此处可从《西南大学学报(自然科学版)》下载全文 | |