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Sibirskii Matematicheskii Zhurnal, 2021, Volume 62, Number 2, Pages 466–472
DOI: https://doi.org/10.33048/smzh.2021.62.217 (Mi smj7569) 		 
On the local case in the Aschbacher theorem for symplectic and orthogonal groups

N. Yanga, A. A. Galtbc

a School of Science, Jiangnan University, Wuxi, P. R. China
b Sobolev Institute of Mathematics, Novosibirsk, Russia
c Novosibirsk State University, Novosibirsk, Russia
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DOI: https://doi.org/10.33048/smzh.2021.62.217
Abstract: We consider the subgroups $H$ in a symplectic or orthogonal group over a finite field of odd characteristic such that $O_r(H)\neq1$ for some odd prime $r$. We obtain a refinement of the well-known Aschbacher Theorem on subgroups of classical groups for this case.
Keywords: Aschbacher Theorem, symplectic group, orthogonal group, radical $r$-subgroup.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0314-2019-0001
The work was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project 0314–2019–0001).
Received: 20.08.2020
Revised: 28.09.2020
Accepted: 09.10.2020
English version:
Siberian Mathematical Journal, 2021, Volume 62, Issue 2, Pages 377–382
DOI: https://doi.org/10.1134/S0037446621020178
Bibliographic databases:
Document Type: Article
UDC: 512.542
MSC: 35R30
Language: Russian
Citation: N. Yang, A. A. Galt, “On the local case in the Aschbacher theorem for symplectic and orthogonal groups”, Sibirsk. Mat. Zh., 62:2 (2021), 466–472; Siberian Math. J., 62:2 (2021), 377–382
Citation in format AMSBIB
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