| 弱s-置换子群与有限群的p-幂零性 |
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| 引用本文： | 陈云坤,黎先华.弱s-置换子群与有限群的p-幂零性[J].西南师范大学学报(自然科学版),2012,37(2):8-11. |
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| 作者姓名： | 陈云坤 黎先华 |
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| 作者单位： | 贵州师范大学数学与计算机科学学院;苏州大学数学科学学院 |
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| 基金项目： | 国家自然科学基金(N.11171243;10871032);江苏省自然科学基金(BK2008156) |
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| 摘 要： | 利用Sylow子群的极大子群的弱s-置换性得到有限群为p-幂零群的一些充分条件.推广、统一了现有的一些结果.
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| 关 键 词： | 有限群 弱s-置换子群 p-幂零群 |
Weakly s-Permutable Subgroups and p-Nilpotency of Finite Groups |
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| CHEN Yun-kun,LI Xian-hua.Weakly s-Permutable Subgroups and p-Nilpotency of Finite Groups[J].Journal of Southwest China Normal University(Natural Science),2012,37(2):8-11. |
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| Authors: | CHEN Yun-kun LI Xian-hua |
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| Institution: | 1.School of Mathematics and Computer Science,Guizhou Normal University,Guiyang 550001,China;2.School of Mathematical Science,Soochow University,Suzhou Jiangsu 215006,China |
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| Abstract: | In this paper,some sufficient conditions on p-nilpotency of finite groups are obtained by the weakly s-permutablity of some maximal subgroups of Sylow subgroups.The results are generalization of some recent results. |
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| Keywords: | finite group weakly s-permutable subgroup p-nilpotent group |
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