A characterization of the desarguesian planes of order q2 by SL(2,q)
D. A. Foulser,1N. L. Johnson,2and T. G. Ostrom3
Received25 Jan 1982
Abstract
The main result is that if the translation complement of a translation plane of order q2 contains a group isomorphic to SL(2,q) and if the subgroups of order q are elations (shears), then the plane is Desarguesian. This generalizes earlier work of Walker, who assumed that the kernel of the plane contained GF(q).