| 关于子群的Sylow子群 |
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| 引用本文： | 王殿军.关于子群的Sylow子群[J].贵州大学学报(自然科学版),1991,8(1):15-17. |
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| 作者姓名： | 王殿军 |
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| 作者单位： | 延安大学数学系 延安 |
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| 摘 要： | 本文讨论了子群的Sylow子群与全群的Sylow子群间的关系,得到了幂零群的一个新的特征性质,并证明了著名的Frattini推理的逆定理。
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| 关 键 词： | 群 Sylow子群 幂零群 S－拟正规 |
On Sylow Subgroups of Subgroups |
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| Wang Dianjun.On Sylow Subgroups of Subgroups[J].Journal of Guizhou University(Natural Science),1991,8(1):15-17. |
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| Authors: | Wang Dianjun |
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| Institution: | Wang Dianjun Department of Mathematics,Yanan University 716000 |
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| Abstract: | In this paper, we will discuss the relation between Sylow subgroups of a group and Sylow subgroups of its subgroups. A new characteristic property of nilpotent groups is obtained, and the inverse theorem of the famous Frattini argument is proved. |
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| Keywords: | group Sylow subgroup S-quasinormal subgroup nilpotent group Frattini argument |
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