| 共轭类长的算术性质对群结构的影响 |
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| 引用本文： | 钟艳林.共轭类长的算术性质对群结构的影响[J].长春大学学报,2012(10):1230-1232. |
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| 作者姓名： | 钟艳林 |
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| 作者单位： | 闽南理工学院信息管理系,福建泉州362700 |
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| 摘 要： | 通过元素的性质来探讨有限群的结构一直是令人感兴趣的课题,通过元素的共轭类长的算术性质可以刻画出有限群的结构。主要探讨有限群G的每一个素数幂阶元的共轭类长无平方因子、元p2和不被8整除等性质对有限群的结构的影响。
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| 关 键 词： | 有限群 素数幂 共轭类长 |
The Influences of Arithmetic Properties of Conjugacy Class Length on Group Structure |
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| ZHONG Yan-lin.The Influences of Arithmetic Properties of Conjugacy Class Length on Group Structure[J].Journal of Changchun University,2012(10):1230-1232. |
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| Authors: | ZHONG Yan-lin |
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| Institution: | ZHONG Yan-lin ( Department of Information Management, Minnan University of Science and Technology, Quanzhou 362700, China) |
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| Abstract: | To explore the structure of finite group by elemental properties has always been a hot topic, and the structure of finite group can be characterized by arithmetic property of elements＇ conjugacy class length. This paper mainly discusses the influences of properties that conjugacy class length of each prime power order is square free, not p2 squared and it can not be divided exactly by 8 of finite group G on the structure of finite group. |
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| Keywords: | finite group prime power conjugacy class length |
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