| 所有子群皆交换或正规的有限群 |
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| 引用本文： | 唐锋,钱国华.所有子群皆交换或正规的有限群[J].数学研究及应用,2008,28(2):273-278. |
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| 作者姓名： | 唐锋 钱国华 |
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| 作者单位： | 常熟理工学院数学系, 江苏 常熟 2155002; 南京师范大学数学与计算机信息科学学院, 江苏 南京 210097;常熟理工学院数学系, 江苏 常熟 2155002 |
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| 基金项目： | 国家自然科学基金
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江苏省教育厅自然科学基金 |
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| 摘 要： | 本文研究所有子群皆交换或正规的有限群. 我们获得了非幂零的情形的一个特征刻画, 也给出了幂零情形的一些性质.
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| 关 键 词： | abelian subgroup normal subgroup Frobenius group nilpotent group 子群 交换 有限群 Normal Abelian Groups properties nilpotent characterization finite groups case object paper abelian normal |
| 收稿时间： | 1/4/2006 12:00:00 AM |
| 修稿时间： | 7/2/2006 12:00:00 AM |
Finite Groups in Which Every Subgroup Is Abelian or Normal |
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| TANG Feng and QIAN Guo Hua.Finite Groups in Which Every Subgroup Is Abelian or Normal[J].Journal of Mathematical Research with Applications,2008,28(2):273-278. |
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| Authors: | TANG Feng and QIAN Guo Hua |
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| Institution: | 1. School of Mathematics and Computer Science,Nanjing Normal University,Jiangsu 210097,China;Department of Mathematics,Changshu Institute of Technology,Jiangsu 215500,China
2. Department of Mathematics,Changshu Institute of Technology,Jiangsu 215500,China |
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| Abstract: | The main object of this paper is to investigate the finite groups in which every subgroup is either abelian or normal.We obtain a characterization of the groups for the nonnilpotent case,and we also give some properties for the nilpotent case. |
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| Keywords: | abelian subgroup normal subgroup Frobenius group nilpotent group |
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