1. Department of Mathematics, University of Science and Technology of China, Hefei, P. R. China 2. Novosibirsk State University, Novosibirsk, Russia 3. Sobolev Institute of Mathematics, Novosibirsk State University, Novosibirsk, Russia
Abstract:
We consider the subgroups H in a linear or a unitary group G over a finite field such that Or(H) ? Z(G) for some odd prime r. We obtain a refinement of the well-known Aschbacher theorem on subgroups of classical groups for this case.