On the Orbital Diameter of Primitive Affine Groups

Abstract

The orbital diameter of a primitive permutation group is the maximal diameter of its orbital graphs. There has been a lot of interest in bounds for the orbital diameter. In this paper we provide explicit bounds on the diameters of groups of primitive affine groups with almost quasisimple point stabilizer. As a consequence we obtain a partial classification of primitive affine groups with orbital diameter less than or equal to 2.