| 有限群的弱c~*-正规子群 |
| |
| 引用本文： | 钟国,杨立英,韦华全,马儇龙.有限群的弱c~*-正规子群[J].贵州师范大学学报(自然科学版),2013,31(1):44-47. |
| |
| 作者姓名： | 钟国 杨立英 韦华全 马儇龙 |
| |
| 作者单位： | 1. 广西师范学院数学科学学院,广西南宁,530023
2. 广西师范学院数学科学学院,广西南宁530023;广西大学数学与信息科学学院,广西南宁530004 |
| |
| 基金项目： | 国家自然科学基金项目(10961007,11161006);广西自然科学基金项目(0991101,0991102);广西教育厅科研基金项目资助;2011年广西高校人才资助计划(5070) |
| |
| 摘 要： | 群G的一个子群H称为在G中S-拟正规嵌入,如果对于任意的素数p||H|,H的Sylow p-子群也是G的某个S-拟正规子群的Sylow p-子群。称子群H是G的弱c*-正规子群,如果G有次正规子群K使得G=HK且满足H∩K在G中是S-拟正规嵌入。我们利用弱c*-正规子群的概念,研究了p-幂零群的构造,得出了一些新结果。
|
| 关 键 词： | p-幂零群 弱c*-正规子群 有限群 |
On weakly c~*-normal subgroups of finite groups |
| |
| ZHONG Guo
,
YANG Li-Ying
,
WEI Hua-quan
,
MA Xuan-long.On weakly c~*-normal subgroups of finite groups[J].Journal of Guizhou Normal University(Natural Sciences),2013,31(1):44-47. |
| |
| Authors: | ZHONG Guo YANG Li-Ying WEI Hua-quan MA Xuan-long |
| |
| Institution: | 1(1.School of Mathematical Science,Guangxi Teachers Education University,Nanning,Guangxi 530023,China; 2.College of Mathematics and Information Science,Guangxi University,Nanning,Guangxi 530004,China) |
| |
| Abstract: | A subgroup H of a finite group G is called S-quasinormally embedded in G if for each prime p||H|,a Sylow p-subgroup of H is also a Sylow p-subgroup of some S-quasinormal subgroup of G.A subgroup H of a group G was said to be weakly c*-normal in G if there are a subnormal subgroup T of G such that G=HT and H∩T is S-quasinormally embedded in G.Using this concept,we investigate the structure of p-nilpotent groups and obtain some new results about the weakly c*-normal subgroups. |
| |
| Keywords: | p-nilpotent groups weakly c*-normal subgroups finite groups |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
