16-dimensional compact projective planes with 3 fixed points.
The construction of any finite translation plane depends on the appropriate determination of a partition of a Galois field , together with a set of automorphisms of as a vector space. In this paper we obtain sufficient conditions on and , so that a translation plane is produced. They are also necessary conditions when . Particularly, we examine the case where is a two-dimensional vector space. We prove that no translation planes are constructible by a single automorphism, other than...