| 最高阶元个数是4p的有限群 |
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| 引用本文： | 杜祥林,姜友谊.最高阶元个数是4p的有限群[J].数学年刊A辑(中文版),2004(5). |
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| 作者姓名： | 杜祥林 姜友谊 |
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| 作者单位： | 四川大学数学学院，重庆三峡学院计算机系 成都 610064，重庆三峡学院计算机系，重庆 404000，重庆 404000 |
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| 基金项目： | 国家自然科学基金(No.10171074)，重庆市教委(No.021102)资助的项目. |
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| 摘 要： | 本文证明了如果有限群G恰有4p个最高阶元,p为素数,则群G为可解群,除非G同构于S5.
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| 关 键 词： | 有限群 最高阶元 可解群 |
ON FINITE GROUPS WITH EXACTLY 4p MAXIMAL ORDER ELEMENTS |
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| DU Xianglin JIANG Youyi
College of Mathematics,Sichuan University,Chengdu ,China and Chongqing Three Gorge College,Chongqing ,China.
Chongqing Three Gorge College,Chongqing ,China..ON FINITE GROUPS WITH EXACTLY 4p MAXIMAL ORDER ELEMENTS[J].Chinese Annals of Mathematics,2004(5). |
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| Authors: | DU Xianglin JIANG Youyi
College of Mathematics Sichuan University Chengdu China and Chongqing Three Gorge College Chongqing China
Chongqing Three Gorge College Chongqing China |
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| Institution: | DU Xianglin JIANG Youyi
College of Mathematics,Sichuan University,Chengdu 610064,China and Chongqing Three Gorge College,Chongqing 404000,China.
Chongqing Three Gorge College,Chongqing 404000,China. |
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| Abstract: | This paper proves that a finite group with exactly 4p maximal order elements is solvable, where p is a prime, unless G is isomorphic to S5. |
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| Keywords: | Finite group Maximal order element Solvable |
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