1. Department of Mathematics , Changshu Institute of Technology , Changshu , Jiangsu , China stswym@mail.zsu.edu.cn;3. Lingnan College and Department of Mathematics , Zhongshan University , Guangzhou , China
Abstract:
The object of this article is to study the connection between the structure of a finite group and the conjugacy class sizes of the p-singular elements of a finite group. The finite groups G in which every conjugacy class size of the p-singular elements satisfies some given arithmetic conditions are classified.