| 摘要: |
| 利用极小子群的F-S-补及极小阶反例法,研究有限群的p-幂零性问题,得到有限群为p-幂零的若干新判据. |
| 关键词: 有限群 F-S-补 极小子群 p-幂零群 |
| DOI： |
| 投稿时间：2008-05-26 |
| 基金项目:广西科学基金项目(0575050);广西研究生教育创新计划项目(2007106020701M51)资助 |
|
| F-S-Supplement of the Mininal Subgroups and p-nilpotentcy of Finite Groups |
|
HUANG Hai-lan, ZHONG Xiang-gui
|
| (Department of Mathematics, Guangxi Normal University, Guilin, Guangxi, 541004, China) |
| Abstract: |
| Using F-S-supplement of the minimal subgroups and the minimal counterexample method, the p-nilpotency of finite groups is investigated.Some new sufficient conditions for a group to be a p-nilpotent group are obtained. |
| Key words: finite groups F-S-supplement minimal subgroup p-nilpotent group |
