| 论有限群元素共轭类的平均长度 |
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| 引用本文： | 杜祥林,王绍恒.论有限群元素共轭类的平均长度[J].数学杂志,2007,27(3):267-270. |
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| 作者姓名： | 杜祥林 王绍恒 |
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| 作者单位： | 重庆三峡学院数学系,重庆万州,404000 |
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| 基金项目： | Supported by the Fund of Chongqing Education Committee(KG051107) |
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| 摘 要： | 本文研究有限群元素共轭类的平均长度问题.利用初等群论方法和有限群特征标理论,在共轭类平均长度为某一定数时,获得了对有限群结构的刻划,且对有限群数量性质的研究是有意义的.
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| 关 键 词： | 有限群 共轭类 共轭类数 |
| 文章编号： | 0255-7797（2007）03-0267-04 |
| 修稿时间： | 2004-12-272005-04-10 |
ON THE AVERAGE LENGTH OF CONJUGACY CLASSES OF FINITE GROUPS |
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| DU Xiang-lin,WANG Shao-hen.ON THE AVERAGE LENGTH OF CONJUGACY CLASSES OF FINITE GROUPS[J].Journal of Mathematics,2007,27(3):267-270. |
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| Authors: | DU Xiang-lin WANG Shao-hen |
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| Institution: | Dept. of Math. , Chongqing Three Gorge University, Wanzhou 404000, China |
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| Abstract: | This paper studies problem of the average length of conjugacy classes of finite groups. Using the theory of elementary group and character, we get a result to characterize the structure of finite groups when the average length of conjugacy classes of the finite groups is given. This is significant for studying the quantitative property of finite groups. |
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| Keywords: | finite groups conjugacy classes conjugacy classes number |
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