李型单群2G2（q）阶分量刻画的简化证明  

On Simplified Proof of Order Components Characterization of Lie Type Simple Groups 2G2（q）

作　　者：陈彦恒[1] 贾松芳[1] 姜友谊 CHEN Yan-heng;JIA Song-fang;JIANG You-yi(School of Mathematics and Statistics,Chongqing Three Gorges University,Wanzhou Chongqing 404100,China)

机构地区：[1]重庆三峡学院数学与统计学院

出　　处：《西南师范大学学报（自然科学版）》2019年第6期5-9,共5页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：重庆市科委研究项目(CSTC2014jcyjA00009);重庆市教委科研项目(KJ1710254);重庆三峡学院重大培育项目(18ZDPY07);重庆三峡学院重点项目(14ZD16)

摘　　要：不使用单群分类定理,给出了Sylow 2-子群阶数不大于8的有限单群的完全分类.并在此基础上,简化了李型单群2G2(q)阶分量刻画的证明.Without using the simple group classification theorem, the finite simple groups have been classified, whose order of Sylow 2-subgroup are no more than 8. Based on this fact, the proof of order components characterization of Lie type simple groups 2G2(q) has been simplified.

关 键 词：有限单群 SYLOW 2-子群 阶分量刻画 

分 类 号：O152[理学—数学]