A note on Finite Hyperbolic Planes Obtained from Projektive Planes

Authors: Ş. OLGUN, İ. ÖZGÜR, İ. GÜNALTILI

Abstract: Let \Pi be a finite projective plane of order n and \cal be a set, |\cal| = m, of any lines of \Pi which contains three non-concurrent lines. Consider the hyperbolic plane \Pi_m obtained from \Pi by removing all lines (including all points on them) of \cal. In this paper, we obtain larger values than the known maximum value of m and determine the linne classes of some hyperbolic planes of type \Pi_m. Furthermore we give an answer to a question in Bumcrot [1] about hyperbolic planes containing two-point liens.

Keywords:

Full Text: PDF