| 极小子群与有限群的结构研究 |
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| 引用本文： | 沈如林,史江涛,施武杰.极小子群与有限群的结构研究[J].苏州大学学报(医学版),2009,25(1):1-3. |
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| 作者姓名： | 沈如林 史江涛 施武杰 |
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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： | 国家自然科学基金，高等学校博士学科点专项科研基金 |
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| 摘 要： | 首先利用极小子群的中心化子和正规化子对若干有限群的结构进行了刻画，其次给出了非平凡交换子群个数≤4的有限群的完全分类．
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| 关 键 词： | 有限群 中心化子 正规化子 交换群 循环群 |
Minimal subgroups and the study of the structure of finite groups |
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| Shen Ruling,Shi Jiangtao,Shi Wujie.Minimal subgroups and the study of the structure of finite groups[J].Journal of Suzhou University(Natural Science),2009,25(1):1-3. |
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| Authors: | Shen Ruling Shi Jiangtao Shi Wujie |
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| Institution: | School of Mathematic Science;Suzhou Univ.;Suzhou 215006;China |
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| Abstract: | In this paper,we firstly characterize the structure of some finite groups through the centralizers and normalizers of minimal subgroups,secondly we obtain the complete classification of finite groups whose the quantity of nontrivial abelian subgroups is not more than four. |
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| Keywords: | finite groups centralizers normalizers abelian groups cyclic groups |
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