共轭类长两两最大公因子至多有两个素因子的有限单群  

Finite Simple Groups in Which Any Two Different Conjugacy Class Lengths Have at Most Two Prime Divisors in Common

作　　者：张耀芳 刘燕俊 

机构地区：[1]九江职业大学师范学院,江西 九江 [2]江西师范大学数学与统计学院,江西 南昌

出　　处：《理论数学》2021年第12期1993-2002,共10页Pure Mathematics

摘　　要：本文证明了A5是唯一满足任意两个不同共轭类长的最大公因子至多有两个(不一定不同)素因子的有限单群。This paper shows that A5 is the only finite simple group such that the greatest common divisor of any pair of its different conjugacy class lengths has at most two (not necessarily different) prime divisors.

关 键 词：有限单群 共轭类 最大公因子 素因子 

分 类 号：O15[理学—数学]