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Automorphism Groups of Suzuki-Ree Groups Can Be Characterized by Their Order Components
Yan Heng CHEN, Song Fang JIA
Acta Mathematica Sinica, Chinese Series ›› 2019, Vol. 62 ›› Issue (4) : 641-646.
PDF(386 KB)
PDF(386 KB)
Automorphism Groups of Suzuki-Ree Groups Can Be Characterized by Their Order Components
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 groups / automorphism groups / group order / order component {{custom_keyword}} /
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PDF(386 KB)
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