| 弱s-置换子群对有限群可解性的影响 |
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| 引用本文： | 刘玉凤. 弱s-置换子群对有限群可解性的影响[J]. 高师理科学刊, 2010, 30(3). DOI: 10.3969/j.issn.1007-9831.2010.03.001 |
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| 作者姓名： | 刘玉凤 |
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| 作者单位： | 山东工商学院,数学与信息科学学院,山东,烟台,264005 |
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| 摘 要： | 利用弱s-置换子群的概念,研究了弱s-置换子群对有限群可解性的影响,得到了有限群可解的2个充要条件.
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| 关 键 词： | 有限群 弱s-置换子群 极大子群 可解群 |
The influence of weakly s-permutable subgroups on the solubility of finite groups |
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| LIU Yu-feng. The influence of weakly s-permutable subgroups on the solubility of finite groups[J]. Journal of Science of Teachers＇College and University, 2010, 30(3). DOI: 10.3969/j.issn.1007-9831.2010.03.001 |
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| Authors: | LIU Yu-feng |
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| Affiliation: | LIU Yu-feng (School of Mathematics and Informational Science,Shandong Institute of Business and Technology,Yantai 264005,China) |
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| Abstract: | Using the conception of weakly s-permutable subgroup of finite groups,the influence of weakly s-permutable subgroups on the solubility of finite groups was discussed,two necessary and sufficient conditions of soluble groups was obtained. |
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| Keywords: | finite group weakly s-permutable subgroup maximal subgroup soluble group |
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