Siberian Mathematical Journal | 2021
On the Local Case in the Aschbacher Theorem for Symplectic and Orthogonal Groups
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.