| A RECOGNITION OF SIMPLE GROUPS PSL（3, q） BY THEIR ELEMENT ORDERS |
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| 引用本文： | M.R.Darafsheh,A.R.Moghaddamfar,A.R.Zokayi. A RECOGNITION OF SIMPLE GROUPS PSL（3, q） BY THEIR ELEMENT ORDERS[J]. 数学物理学报(B辑英文版), 2004, 24(1): 45-51 |
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| 作者姓名： | M.R.Darafsheh A.R.Moghaddamfar A.R.Zokayi |
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| 作者单位： | Department of Mathematics and Computer Sciences，Faculty of Science，University of Tehran，Tehran，Iran，Department of Mathematics，K. N. T University of Technology，P.O. Boz 16315-1618，Tehuan，Iran，Department of Mathematics，K. N. T University of Technology，P.O. Boz 16315-1618，Tehuan，Iran |
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| 基金项目： | This work has been supported by the Research Institute for Fundamental Sciences Tabriz,Iran. |
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| 摘 要： | For any group G, denote byπe(G) the set of orders of elements in G. Given a finite group G, let h(πe (G)) be the number of isomorphism classes of finite groups with the same set πe(G) of element orders. A group G is called k-recognizable if h(πe(G)) = k <∞, otherwise G is called non-recognizable. Also a 1-recognizable group is called a recognizable (or characterizable) group. In this paper the authors show that the simple groups PSL(3,q), where 3 < q≡±2 (mod 5) and (6, (q-1)/2) = 1, are recognizable.
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| 关 键 词： | 简单群 有限群 可识别群 素图 |
A RECOGNITION OF SIMPLE GROUPS PSL(3, q) BY THEIR ELEMENT ORDERS |
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| M.R.Darafsheh,A.R.Moghaddamfar,A.R.Zokayi. A RECOGNITION OF SIMPLE GROUPS PSL(3, q) BY THEIR ELEMENT ORDERS[J]. Acta Mathematica Scientia, 2004, 24(1): 45-51 |
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| Authors: | M.R.Darafsheh A.R.Moghaddamfar A.R.Zokayi |
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| Abstract: | |
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| Keywords: | Element order prime graph projective special linear group |
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