ON THE EMBEDDING OF COMPLEMENTS OF SOME HYPERBOLIC PLANES II


Anapa P., Gunaltili I., Olgun S.

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, vol.57, no.1, pp.23-32, 2008 (ESCI) identifier

Abstract

In this paper, we studied that a linear space, which is the complement of linear space whose points are not on a pentagon, hexagon or a heptagon in a projective subplane of order m, is embeddable in an unique way in a projective plane of order n. In addition, we showed that this linear space is the complement of certain regular hyperbolic plane in the sense of Graves [5] with respect to a finite projective plane..