| 关于S-拟正规性的一些必要条件 |
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| 引用本文： | 王芬,徐颖吾.关于S-拟正规性的一些必要条件[J].黑龙江商学院学报,2014(1):117-119. |
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| 作者姓名： | 王芬 徐颖吾 |
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| 作者单位： | 西安工程大学理学院,西安710048 |
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| 基金项目： | 陕西省教育厅自然科学专项基金资助项目（11JK0499）. |
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| 摘 要： | 为证明S-拟正规子群是否具有半正规性，并应用有限群的子集的S-拟正规性来研究有限群的超可解性．设G为有限群，H≤G，称H为G的S-拟正规子群，如果对于G的任意一个Sylow子群P，都有HP＝PH．给有限群的某些子集赋予S-拟正规性，可得群具有超可解性。
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| 关 键 词： | 拟正规子群 S-拟正规子群 超可解群 |
Several necessary conditions of S-quasinormal subgroup |
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| WANG Fen,XU Ying-wu.Several necessary conditions of S-quasinormal subgroup[J].Journal of Harbin Commercial University(Natural Sciences Edition),2014(1):117-119. |
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| Authors: | WANG Fen XU Ying-wu |
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| Institution: | (School of Science, Xi＇ an Polytechnic of University, Xi＇ an 710048, China) |
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| Abstract: | To prove whether S-quasinormal subgroups have half normality , and using S-quasinormality of subset to study the supersolvablity in finite group .Let G be a finite group . A subgroup H of G is said to be S-quasinormal in G if HP=PH for all Sylow subgroups P of G.Let several subsets in finite group have S-quasinormal, which could get the result that the group have supersolvablity . |
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| Keywords: | quasinormal subgroup S-quasinormal subgroup super solvable subgroup |
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