| 有限群的PCM-子群 |
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| 引用本文： | 李华,唐锋.有限群的PCM-子群[J].数学杂志,2011,31(4):679-684. |
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| 作者姓名： | 李华 唐锋 |
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| 作者单位： | 常熟理工学院数学系,江苏常熟,215500 |
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| 摘 要： | 本文研究了有限群的超可解性.利用Fitting子群的某些特殊子群的PCM性质对有限群结构的影响,获得了超可解群的一些充要条件.
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| 关 键 词： | 共轭置换子群 极大子群 Fitting子群 超可解群 饱和群系 |
ON PCM-SUBGROUPS OF FINITE GROUPS |
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| LI Hua,TANG Feng.ON PCM-SUBGROUPS OF FINITE GROUPS[J].Journal of Mathematics,2011,31(4):679-684. |
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| Authors: | LI Hua TANG Feng |
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| Institution: | LI Hua,TANG Feng (Dept. of Math.,Changshu Institute of Technologe,Changshu 215500,China) |
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| Abstract: | In this article, we investigate the supersolvability of finite groups. By using PCM properties of certain subgroups of Fitting subgroups, we obtain some sufficient and necessary conditions for supersolvability. |
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| Keywords: | PC-subgroup maximal subgroup Fitting subgroup supersolvable group saturated formation |
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