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Steklov Institute of Mathematics at St.Petersburg

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PREPRINT 14/2007

S. Evdokimov, I. Ponomarenko ##
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.

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