On finite hjelmslev planes of parameters (p k-1,p)

Abstract

In this paper, we study on finite projective Hjelmslev planes M(Z <inf>q</inf>) coordinatized by Hjelmslev ring Z <inf>q</inf> (where prime power q = p ^k). We obtain finite hyperbolic Klingenberg planes from these planes under certain conditions. Also, we give a combinatorical result on M(Z <inf>q</inf>), related by deleting a line from lines in same neighbour.