Steklov Institute of Mathematics at St.Petersburg

PREPRINT 14/2007

SCHEMES OF A FINITE PROJECTIVE PLANE AND THEIR EXTENSIONS

This preprint was accepted December 1, 2007

ABSTRACT:
There are several schemes (coherent configurations) related to a 
finite projective plane P. In this paper we construct a new scheme 
which contains in some sense all of them. It turns out that this 
scheme is nothing else than the 2-extension of the non-homogeneous 
scheme of P. This fact has interesting applications in the theory 
of multi-dimensional extensions of schemes and similarities.