| 摘要: |
| 利用极小子群及4阶循环子群的"C-正规"性得到有限群p-幂零性的若干结果,推广了一些著名定理,如Itô定理等,也使文献[10]中的主要结果得到进一步推广. |
| 关键词: 有限群 极小子群 p-幂零群 C-正规子群 |
| DOI： |
| 投稿时间：1999-01-21修订日期：1999-04-14 |
| 基金项目: |
|
| On Minimal Subgroups and p-nilpotency of Finite Groups |
|
Zhong Xianggui
|
| (Dept. of Math. & Info. Sci., Guangxi Univ., 10 Xixiangtanglu, Nanning, Guangxi, 530004, China) |
| Abstract: |
| Using C-normality of minimal subgroups and the cyclic subgroups of order 4,we obtain some new characterizations of p-nilpotent groups.Our results generalize some famous theorems such as Itô Theorem,and improve the main results in[10]. |
| Key words: finite group minimal subgroup p-nilpotent group C-normal subgroup |
