| 具有给定共轭类长的有限非可解群 |
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| 引用本文： | 钟祥贵.具有给定共轭类长的有限非可解群[J].广西科学,2006,13(1):4-5,8. |
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| 作者姓名： | 钟祥贵 |
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| 作者单位： | 广西师范大学数学系,广西桂林,541004 |
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| 摘 要： | 设G是有限非可解群且Z(G)=1.如果G的非中心共轭类长为pq,p r2,qr2,那么G同构于5次交错群A5;如果G的非中心共轭类长为15,5p,15p,5p2,3p3,那么G同构于5次对称群S5.
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| 关 键 词： | 有限群 非可解群 共轭类 图 |
| 文章编号： | 1005-9164（2006）01-0004-02 |
| 收稿时间： | 2005-07-07 |
| 修稿时间： | 2005-07-072005-09-06 |
Finite Non-solvable Groups with the Given Length of Conjugacy Classes |
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| ZHONG Xiang-gui.Finite Non-solvable Groups with the Given Length of Conjugacy Classes[J].Guangxi Sciences,2006,13(1):4-5,8. |
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| Authors: | ZHONG Xiang-gui |
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| Institution: | Department of Mathematics, Guangxi Normal University, Guilin, Guangxi, 541004, China |
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| Abstract: | Let G be a finite non-solvable group and Z(G)=1.If the non-central conjugacy-class-lengths of G are pq,pr2,qr2, then G(≌)A5.If the non-central conjugacy-class-lengths of G are 15,5p,15p,5p2,3p3,then G(≌)S5. |
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| Keywords: | finite group non-solvable group conjugacy class graph |
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