| F~*-子群与有限群的p-幂零性 |
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| 引用本文： | 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. |
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| 作者姓名： | 何家文 钟祥贵 韦铸娥 |
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| 作者单位： | 广西师范大学数学科学学院,广西桂林,541004 |
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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.
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| 关 键 词： | F＊-子群 2-极大子群 p-幂零性 |
| 收稿时间： | 2009/12/9 0:00:00 |
| 修稿时间： | 2010/5/11 0:00:00 |
F*-Subgroups and p-Nilpotency of Finite Groups |
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| HE Jia-wen,ZHONG Xiang-gui and WEI Zhu-e.F*-Subgroups and p-Nilpotency of Finite Groups[J].Guangxi Sciences,2010,17(3):194-196. |
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| Authors: | HE Jia-wen ZHONG Xiang-gui and WEI Zhu-e |
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| Institution: | (College of Mathematical Science,Guangxi Normal University,Guilin,Guangxi,541004,China) |
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| 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. |
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| Keywords: | F＊-subgroups 2-maximal subgroups p-nilpotency |
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