Klein’s discrete model: the case of odd order

Abstract

}\BSTRACTThe aim of this paper is the construction (j)f an incidence structure, called KLEIN'S DISCRETE MODEL 'X, which can be regarded as an analogous model to Klein's real model. The construction is done by fixing a conic <f! over a finite projective plane of order q. Such a q is called the order of 'X In this paper we study the case of q odd and in particular the group of projectivities which transform «I. in itself.