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PDF(386 KB)
PDF(386 KB)
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
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（2F4（q）），q=2f和Aut（2G2（q）），q=3f，可由其阶分量刻画，其中f=3s，s为正整数.本文证明了Aut（2B2（q）），q=2f和Aut（2G2（q）），q=3f，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=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.
Suzuki-Ree群 / 自同构群 / 群的阶 / 阶分量 {{custom_keyword}} /
Suzuki-Ree groups / automorphism groups / group order / order component {{custom_keyword}} /
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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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