| C^＊-正规子群和有限群的结构 |
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| 引用本文： | 杜春英.C^＊-正规子群和有限群的结构[J].苏州大学学报(医学版),2009,25(4):20-24. |
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| 作者姓名： | 杜春英 |
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| 作者单位： | 苏州大学数学科学学院,江苏苏州215006 |
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| 基金项目： | Supported by the Natural Science Foundation of China(10571128) |
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| 摘 要： | H为群G的子群,如果存在G的正规子群K使得G=HK并且H∩K在G中是S-拟正规嵌入的,我们称H在G中是c^＊-正规的.我们利用群G的Sylow子群的2-极大子群的c^＊-正规性来刻划群的结构,一些已知的结果得到推广.
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| 关 键 词： | c*-正规子群 极大子群 2-极大子群 |
C*-normal subgroups and the structure of finite groups |
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| Du Chunying.C*-normal subgroups and the structure of finite groups[J].Journal of Suzhou University(Natural Science),2009,25(4):20-24. |
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| Authors: | Du Chunying |
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| Institution: | School of Mathematic Science;Suzhou Univ.;Suzhou 215006;China |
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| Abstract: | A subgroup H of a group G is called c^＊ -normal in G if there exists a normal subgroup K of G such that G = HK and H n K is s-quasinormally embedded in G. In this paper we characterize p-nilpotent of finite group G with assumption that some 2-maximal subgroups of Sylow subgroup of G are c^＊ -normal. Some recent results are extended. |
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| Keywords: | c*-normality maximal subgroup 2-maximal subgroup |
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