A Note on Some Flag-Transitive Affine Planes

Relatively few finite non desarguesian flag-transitive affine planes are known whose collineation groups are solvable. With a single exception (see below), all of the known ones of odd order fall into two families studied in [Ka, Su l ] ; those references also contain some historical remarks. The purpose of this note is to construct an additional family of such planes, explain why they are new, and estimate how many pairwise nonisomorphic planes are obtained by this construction.