Remarks on the length of conjugacy classes of finite groups
Remarks on the length of conjugacy classes of finite groups
复制标题
DOI：
10.1080/00927879908826701
复制
发表时间：
1999
影响因子：
0.7
通讯作者：
P. Cossey;You-Gan Wang
中科院分区：
文献类型：
--
作者：
P. Cossey;You-Gan Wang
令 G 为有限群。一些作者已经研究了 G 共轭类长度的某些算术条件如何影响群结构的问题。在本文中，我们研究了有限群结构的限制，其中对于某些素数 p，共轭类的长度不能被 p 2 整除。我们对一些早期结果进行概括并提供简化的证明。
Let G be a finite group. The question of how certain arithmetical conditions on the lengths of the conjugacy classes of G influence the group structure has been studied by several authors. In this paper we study restrictions on the structure of a finite group in which the lengths of conjugacy classes are not divisible by p 2 for some prime p. We generalise and provide simplified proofs for some earlier results.