| 极大群和极小群的弱c-正规对有限群结构的影响 |
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| 引用本文： | 高辉,曾凡辉.极大群和极小群的弱c-正规对有限群结构的影响[J].广西科学,2010,17(4):282-283. |
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| 作者姓名： | 高辉 曾凡辉 |
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| 作者单位： | [1]大连海洋大学理学院,辽宁大连116023 [2]广西大学数学与信息科学学院,广西南宁530004 |
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| 摘 要： | 利用极大和极小群的弱c-正规性对有限群的结构进行刻画,得到可解群和p-幂零群的一些充分条件,推广了一些已知的结果.
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| 关 键 词： | 极大子群 极小子群 弱c-正规子群 可解群 p-幂零群 |
| 收稿时间： | 2010/3/25 0:00:00 |
| 修稿时间： | 2010/6/29 0:00:00 |
Influence of Weak c-normality of Maximal and Minimal Subgroups on the Structure of Finite Groups |
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| GAO Hui and ZENG Fan-hui.Influence of Weak c-normality of Maximal and Minimal Subgroups on the Structure of Finite Groups[J].Guangxi Sciences,2010,17(4):282-283. |
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| Authors: | GAO Hui and ZENG Fan-hui |
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| Institution: | 1. Science Institute, Dalian Ocean University, Dalian, Liaoning, 116023, China; 2. College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China) |
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| Abstract: | Using the weak c - normality of maximal and minimal subgroups to characterize the structure of the group G, some sufficient conditions under which a group belongs to solvable groups and p - nilpotent groups are obtained,and some known results are promoted. |
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| Keywords: | maximal subgroups minimal subgroups weak c - normal subgroups solvable groups p - nilpotent groups |
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