| 关于有限群极大子群的CI-截和Deskins完备的一个注记 |
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| 引用本文： | 徐颖吾,刘莉. 关于有限群极大子群的CI-截和Deskins完备的一个注记[J]. 纺织高校基础科学学报, 2013, 0(4): 489-493 |
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| 作者姓名： | 徐颖吾 刘莉 |
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| 作者单位： | [1]西安工程大学理学院,陕西西安710048 [2]延安大学数学与计算机科学学院,陕西延安716000 |
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| 基金项目： | Supported by National Natural Science Foundation of China（Grant 11226038） ; Specialized Research Fund of Education Department of Shaanxi Provincial Govermment（11JK0499） |
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| 摘 要： | 设G是有限群,M是G的极大子群．令K／N是G的一个主因子,K≤M而N（2=M,称MnN／K为M的一个CI-截,M的所有CI-截都同构．M在G中的一个完备是G的一个子群C,如果C（z=M,而C的每个G不变真子群都在M中．应用这些概念,本文得到了有关有限群可解性的新结论．
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| 关 键 词： | CI-截 极大子群 Deskins完备 有限可解群 |
A note,on c-sections and Deskins completions of maximal subgroups of a finite group |
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| XU Ying-wu,LIU Li. A note,on c-sections and Deskins completions of maximal subgroups of a finite group[J]. Basic Sciences Journal of Textile Universities, 2013, 0(4): 489-493 |
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| Authors: | XU Ying-wu LIU Li |
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| Affiliation: | 1. School of Science, Xl an Polytechnic Umversity, Xi＇an 710048, China;2. College of Mathematics and Computer Scienee,Yan＇an Umverslty,Yan an,Shaanm 716000,China) |
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| Abstract: | Let G be a finite group and let M be a maximal subgroup of G. For a G-chief factor K/ N satisfying N≤M but K M, we call MNK/N a c-section of M. All c-sections of M are iso- morphic. A completion of M in G is a subgroup C of G such that C M while every proper sub- group of C which is normal in G is contained in M. By means of these concepts,some new re- sults on the solvability of finite groups are obtained. |
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| Keywords: | c-sections maximal subgroups Deskins completions finite solvable groups |
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