| 摘要: |
| 利用极大和极小群的弱c-正规性对有限群的结构进行刻画,得到可解群和p-幂零群的一些充分条件,推广了一些已知的结果. |
| 关键词: 极大子群 极小子群 弱c-正规子群 可解群 p-幂零群 |
| DOI： |
| 投稿时间：2010-03-25修订日期：2010-06-29 |
| 基金项目: |
|
| Influence of Weak c-normality of Maximal and Minimal Subgroups on the Structure of Finite Groups |
|
GAO Hui1, ZENG Fan-hui2
|
| (1.Science Institute, Dalian Ocean University, Dalian, Liaoning, 116023, China;2.College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China) |
| Abstract: |
| Using the weak c-normality of maximal and minimal subgroups to characterize the structure of the group G, some sufficient conditions under which a group belongs to solvable groups and p-nilpotent groups are obtained, and some known results are promoted. |
| Key words: maximal subgroups minimal subgroups weak c-normal subgroups solvable groups p-nilpotent groups |
