| 引用本文： |
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何家文,钟祥贵,韦铸娥.F*-子群与有限群的p-幂零性[J].广西科学,2010,17(3):194-196. [点击复制]
- HE Jia-wen,ZHONG Xiang-gui,WEI Zhu-e.F*-Subgroups and p-Nilpotency of Finite Groups[J].Guangxi Sciences,2010,17(3):194-196. [点击复制]
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| 摘要: |
| 利用Sylow子群的极大子群和2-极大子群,研究F*-子群对有限群的p-幂零性的影响,得到有限群p-幂零性的若干充分条件. |
| 关键词: F*-子群 2-极大子群 p-幂零性 |
| DOI： |
| 投稿时间：2009-12-09修订日期：2010-05-11 |
| 基金项目:广西科学基金项目(0991090)资助。 |
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| F*-Subgroups and p-Nilpotency of Finite Groups |
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HE Jia-wen, ZHONG Xiang-gui, WEI Zhu-e
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| (College of Mathematical Science, Guangxi Normal University, Guilin, Guangxi, 541004, China) |
| Abstract: |
| Using maximal or 2-maximal subgroups of Sylow subgroups, we investigated the influence of F*-subgroups on p-nilpotency of finite groups, and obtained some sufficient conditions for a finite group to be nilpotent. |
| Key words: F*-subgroups 2-maximal subgroups p-nilpotency |
