Projective representations II. generalized chain geometries

In this paper, projective representations of generalized chain geometries are investigated, using the concepts and results of [5]. In particular, we study under which conditions such a projective representation maps the chains of a generalized chain geometry Σ (F, R) to reguli; this mainly depends on how the field F is embedded in the ring R. Moreover, we determine all bijective morphisms of a certain class of generalized chain geometries with the help of projective representations. Dedicated to Walter Benz on the occasion of his 70th birthday. The first author was supported by a Lise Meitner Research Fellowship of the Austrian Science Fund (FWF), projects M529-MAT, M574-MAT..