| Suzuki-Ree群的自同构群的阶分量刻画 |
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| 引用本文： | 陈彦恒,贾松芳.Suzuki-Ree群的自同构群的阶分量刻画[J].数学学报,2019,62(4):641-646. |
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| 作者姓名： | 陈彦恒 贾松芳 |
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| 作者单位： | 重庆三峡学院数学与统计学院 重庆 404100 |
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| 基金项目： | 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） |
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| 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.
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| 关 键 词： | Suzuki-Ree群 自同构群 群的阶 阶分量 |
Automorphism Groups of Suzuki-Ree Groups Can Be Characterized by Their Order Components |
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| Yan Heng CHEN,Song Fang JIA.Automorphism Groups of Suzuki-Ree Groups Can Be Characterized by Their Order Components[J].Acta Mathematica Sinica,2019,62(4):641-646. |
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| Authors: | Yan Heng CHEN Song Fang JIA |
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| Institution: | School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing 400410, P. R. China |
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| Abstract: | The paperA 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=2f and Aut(2G2(q)), q=3f can be characterized by their order components, where f=3s, s is a positive integer. We proved that Aut(2B2(q)), q=2f 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. |
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| Keywords: | Suzuki-Ree groups automorphism groups group order order component |
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