Suzuki-Ree群的自同构群的阶分量刻画  

Automorphism Groups of Suzuki-Ree Groups Can Be Characterized by Their Order Components

作　　者：陈彦恒[1] 贾松芳[1] Yan Heng CHEN;Song Fang JIA(School of Mathematics and Statistics,Chongqing Three Gorges University,Chongqing 400410,P.R.China)

机构地区：[1]重庆三峡学院数学与统计学院

出　　处：《数学学报（中文版）》2019年第4期641-646,共6页Acta Mathematica Sinica：Chinese Series

基　　金：重庆市教委科研项目(KJ1710254);重庆三峡学院重大培育项目(18ZDPY07)及重点项目(14ZD16)

摘　　要：在《数学学报》2013年第56卷第4期中,"Suzuki-Ree群的自同构群的一个新刻画"一文证明了Aut(~2^F4(q)),q=2^f和Aut(2^G2(q)),q=3^f,可由其阶分量刻画,其中f=3^s,s为正整数.本文证明了Aut(2^B2(q)),q=2^f和Aut(2G2(q)),q=3^f,也可由其阶分量刻画,其中f为奇素数.结合二者得到结论:Suzuki-Ree单群的所有的素图不连通的自同构群皆可由其阶分量刻画.The paper[A new characterization of automorphism groups of Suzuki-Ree groups, Acta Math. Sin., Chin. Ser., 2013, 56(4), 545-552] proved that Aut(2F4(q)), q=2^f and Aut(2G2(q)), q=3^f can be characterized by their order components, where f=3s, s is a positive integer. We proved that Aut(2B2(q)), q=2^f and Aut(2G2(q)), q=3f also can be characterized by their order components, where f is a odd prime. Combining both, we can obtain that the automorphism groups of the Suzuki-Ree simple groups whose prime graphs are not connected can be characterized by their order components.

关 键 词：Suzuki-Ree群 自同构群 群的阶 阶分量 

分 类 号：O152.1[理学—数学]