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On the embedding of complements of some hyperbolic planes. II. (English) Zbl 1290.05047

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)].

MSC:

05B25 Combinatorial aspects of finite geometries
51E20 Combinatorial structures in finite projective spaces
51A45 Incidence structures embeddable into projective geometries

Citations:

Zbl 1224.05075
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