| 关于可解群的若干充分条件 |
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| 引用本文： | 王品超,路在平.关于可解群的若干充分条件[J].数学学报,1996,39(6):820-824. |
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| 作者姓名： | 王品超 路在平 |
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| 作者单位： | 曲阜师范大学数学与计算机科学系 |
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| 摘 要： | 本文在［１］的基础上，利用半正规子群的概念考查了有限群的可解性，得到了若干充分条件．
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| 关 键 词： | 半正规子群，S─补，Hall子群，Sylow基，次正规子群，可解群 |
| 收稿时间： | 1995-5-23 |
| 修稿时间： | 1995-11-7 |
Some Sufficient Conditions for a Finite Group to be Soluble |
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| Wang Pinchao, Lu Zaiping.Some Sufficient Conditions for a Finite Group to be Soluble[J].Acta Mathematica Sinica,1996,39(6):820-824. |
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| Authors: | Wang Pinchao Lu Zaiping |
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| Institution: | Wang Pinchao; Lu Zaiping(Department of Mathematics and Computer Science,Qufu Normal University, Qufu 273165, China) |
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| Abstract: | In this paper,we investigate, using the concept of semi-normal subgroup,the solvability of finite groups on the basis of 1].We obtain a series of sufficient conditions for a finite group to be solvable. |
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| Keywords: | Semi-normal subgroup S-supplement Hall subgroup Sylow basis Subnormal subgroup Solvable group |
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