Abstract
We consider the subgroups \( H \) in a symplectic or orthogonal group over a finite field of odd characteristic such that \( O_{r}(H)\neq 1 \) for some odd prime \( r \). We obtain a refinement of the well-known Aschbacher Theorem on subgroups of classical groups for this case.
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The work was carried out in the framework of the State Task to the Sobolev Institute of Mathematics (Project 0314–2019–0001).
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Translated from Sibirskii Matematicheskii Zhurnal, 2021, Vol. 62, No. 2, pp. 466–472. https://doi.org/10.33048/smzh.2021.62.217
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Yang, N., Galt, A.A. On the Local Case in the Aschbacher Theorem for Symplectic and Orthogonal Groups. Sib Math J 62, 377–382 (2021). https://doi.org/10.1134/S0037446621020178
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DOI: https://doi.org/10.1134/S0037446621020178