Ree群2G2(q)自同构群阶分量刻画的简化证明  

The Simplified Proof for Order Components Characterization of the Automorphism of Ree Group 2G2(q)

作　　者：贾松芳[1] 陈彦恒[1] 姜友谊 JIA Songfang;CHEN Yanheng;JIANG Youyi(School of Mathematics and Statistics,Chongqing Three Gorges University,Chongqing 404100)

机构地区：[1]重庆三峡学院数学与统计学院,重庆万州404100

出　　处：《四川师范大学学报（自然科学版）》2020年第3期333-336,共4页Journal of Sichuan Normal University（Natural Science）

基　　金：重庆市科委研究项目(CSTC2014JCYJA00009);重庆市教委科研项目(KJ1710254)。

摘　　要：借助Sylow 2-子群阶数≤8的有限单群的分类,证明Ree群2G2(q)(q=33s,s≥1)的自同构群可被其阶分量刻画,简化文献(肖芳芳,曹洪平,陈贵云.数学学报,2013,56(4):545-552.)中命题3的证明.In this short paper,on basis of the classification of finite simple groups whose Sylow 2-subgroups’ order are no more than 8,we prove that the automorphism of Ree group 2G2(q) can be characterized by its order components,which simplifies the proof of Proposition 3 of(Xiao F F,Cao H P,Chen G Y. Acta Mathematica Sinica,2013,56(4):545-552.).

关 键 词：有限单群 SYLOW 2-子群 自同构群 阶分量 

分 类 号：O152.1[理学—数学]