| n-极大子群次正规的有限群 |
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| 引用本文： | 郭鹏飞.n-极大子群次正规的有限群[J].山西大学学报(自然科学版),2005,28(4):351-354. |
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| 作者姓名： | 郭鹏飞 |
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| 作者单位： | 上海大学,数学系,上海,200444;连云港师范高等专科学校,数学系,江苏,连云港,222006 |
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| 基金项目： | 国家自然科学基金（10471085） |
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| 摘 要： | 研究了有限群G的n-极大子群均在G中次正规时对群G结构的影响，得到群G可解的若干充分条件和群G的一些性质，推广了文献1，4]的主要结果．
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| 关 键 词： | 次正规子群 可解群 n-极大子群 极小单群 |
| 文章编号： | 0253-2395(2005)04-0351-04 |
| 收稿时间： | 01 19 2005 12:00AM |
| 修稿时间： | 07 5 2005 12:00AM |
Finite Groups Whose n-maximal Subgroups Are Subnormal |
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| GUO Pengfei.Finite Groups Whose n-maximal Subgroups Are Subnormal[J].Journal of Shanxi University (Natural Science Edition),2005,28(4):351-354. |
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| Authors: | GUO Pengfei |
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| Institution: | 1. Department of Mathematics, Shanghai University,Shanghai, 200444, P. R. China 2. Department of Mathematics ,Lianyungang Teachers College ,Lianyungang 222006 ,P. R. China |
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| Abstract: | The effect of n-maximal subgroups on the structures of the finite groups whose n-maximal subgroups were subnormal was studied. Some sufficient conditions and some properties of solvable groups were obtained and the main results in 1,4] were generalized. |
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| Keywords: | subnormal subgroups solvable groups n-maximal subgroups minimal simple groups |
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