| The Characterization of Finite Simple Groups, L3（3^2m-1）（m≥2）, by Their Element Orders |
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| 引用本文： | Ming Chun XU. The Characterization of Finite Simple Groups, L3（3^2m-1）（m≥2）, by Their Element Orders[J]. 数学学报(英文版), 2005, 21(4): 899-902. DOI: 10.1007/s10114-004-0448-6 |
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| 作者姓名： | Ming Chun XU |
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| 作者单位： | [1]Department of Mathematics, South China Normal University, Guangzhou 510613, P. R. China [2]College of Mathematics, Sichuan University, Chengdu 610064, P. R. China |
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| 基金项目： | Project supported by the National Natural Science Foundation （Grant No.10171074）, Jiangsu Natural Science Foundation （Grant No.BK200133） and the Foundation of State Education Ministry of China. |
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| 摘 要： | In this paper the following theorem is proved： Every group L3（q） for q = 3^（2m-1）（m≥2） is characterized by its set of element orders.
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| 关 键 词： | 单群 元素集 分级理论 有限群 |
| 收稿时间： | 2002-07-11 |
| 修稿时间： | 2002-07-112002-11-28 |
The Characterization of Finite Simple Groups, L 3(32m–1)(m ≥ 2),by Their Element Orders |
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| Ming Chun Xu. The Characterization of Finite Simple Groups, L 3(32m–1)(m ≥ 2),by Their Element Orders[J]. Acta Mathematica Sinica(English Series), 2005, 21(4): 899-902. DOI: 10.1007/s10114-004-0448-6 |
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| Authors: | Ming Chun Xu |
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| Affiliation: | (1) Department of Mathematics, South China Normal University, Guangzhou 510613, P. R. China;(2) College of Mathematics, Sichuan University, Chengdu 610064, P. R. China |
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| Abstract: | In this paper the following theorem is proved: Every group L 3(q) for q = 3(2m–1)(m ≥ 2) is characterized by its set of element orders. Project supported by the National Natural Science Foundation (Grant No. 10171074), Jiangsu Natural Science Foundation (Grant No. BK200133) and the Foundation of State Education Ministry of China |
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| Keywords: | Simple groups Set of element orders Classification theorem |
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