Characterization of classical groups by orbit sizes on the natural module
Authors:
Martin W. Liebeck
Affiliation:
Department of Mathematics, Imperial College, London SW7 2BZ, United Kingdom
Abstract:
We show that if is a finite vector space, and is a subgroup of having the same orbit sizes on 1-spaces as an orthogonal or unitary group on , then, with a few exceptions, is itself an orthogonal or unitary group on .