The influence of conjugacy class sizes on the structure of finite groups: a survey
The influence of conjugacy class sizes on the structure of finite groups: a survey
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DOI：
10.1142/s1793557111000459
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发表时间：
2010-02
影响因子：
0.8
通讯作者：
A. Camina;R. Camina
中科院分区：
文献类型：
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作者：
A. Camina;R. Camina
共轭类对于有限群结构的重要性在群的研究中很早就被认识到。在这次调查中，我们认为，从许多文章的结果已经制定了这一主题，并审查的影响共轭类大小或数量的共轭类的结构上的有限群。虽然我们开始提到的早期结果，西洛和伯恩赛德，我们的主要目标是突出最近的工作，并提出一些有趣的问题，我们希望这将激发进一步的研究。
The importance of conjugacy classes for the structure of finite groups was recognised very early in the study of groups. In this survey we consider the results from the many articles which have developed this topic and examined the influence of conjugacy class sizes or the number of conjugacy classes on the structure of finite groups. Whilst we begin by mentioning the early results of Sylow and Burnside, our major objective is to highlight the more recent work and present some interesting questions which we hope will inspire further research.