| 引用本文： |
-
唐曾林,李世荣,曾凡辉.半正规、C-正规与有限群的超可解性[J].广西科学,2007,14(1):1-5. [点击复制]
- TANG Zeng-lin,LI Shi-rong,ZENG Fan-hui.Semi-Normal, C-Normal and Super Solvability of Finite Groups[J].Guangxi Sciences,2007,14(1):1-5. [点击复制]
|
|
| 摘要: |
| 利用半正规或C-正规子群刻划有限群的结构,得到:若群G的每个非循环Sylow子群的极大子群在G中或半正规或C-正规,则G超可解. |
| 关键词: 半正规 C-正规 超可解 Sylow基 |
| DOI： |
| 投稿时间：2006-05-25 |
| 基金项目:国家自然科学基金(10161001)和广西自然科学基金(0249001)资助项目。 |
|
| Semi-Normal, C-Normal and Super Solvability of Finite Groups |
|
TANG Zeng-lin1, LI Shi-rong2, ZENG Fan-hui2
|
| (1.Hunan University of Arts and Science, Changde, Hunan, 415000, China;2.College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China) |
| Abstract: |
| Semi-normal subgroups and C-normal subgroups are used to characterize the structure of finite groups. It is obtained that if every maximal subgroup of non-cyclic Sylow subgroups of G either semi-normal or C-normal in G, then G is super solvable. |
| Key words: semi normality C-normality super solvable Sylow basis |
