Anapa, Pinar; Günaltili, İbrahim; Olgun, Sükrü On the embedding of complements of some hyperbolic planes. II. (English) Zbl 1290.05047 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 57, No. 1, 23-32 (2008). Summary: In this paper, we study 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 show that this linear space is the complement of certain regular hyperbolic plane in the sense of Graves with respect to a finite projective plane. For Part I see [I. Günaltili et al., Ars Comb. 80, 205–214 (2006; Zbl 1224.05075)]. Cited in 1 Review MSC: 05B25 Combinatorial aspects of finite geometries 51E20 Combinatorial structures in finite projective spaces 51A45 Incidence structures embeddable into projective geometries Keywords:linear space; regular hyperbolic plane; embedding; complement Citations:Zbl 1224.05075 PDFBibTeX XMLCite \textit{P. Anapa} et al., Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 57, No. 1, 23--32 (2008; Zbl 1290.05047) Full Text: DOI