Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 3

cross-ratio Related Publications

3 On Cross-Ratio in some Moufang-Klingenberg Planes

Authors: Basri Çelik, Atilla Akpinar

Abstract:

In this paper we are interested in Moufang-Klingenberg planesM(A) defined over a local alternative ring A of dual numbers. We show that a collineation of M(A) preserve cross-ratio. Also, we obtain some results about harmonic points.

Keywords: Moufang-Klingenberg planes, local alternative ring, projective collineation, cross-ratio, harmonic points

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 925
2 On 6-Figures in Finite Klingenberg Planes of Parameters (p2k-1, p)

Authors: Basri Çelik, Atilla Akpinar, Suleyman Ciftci

Abstract:

In this paper, we deal with finite projective Klingenberg plane M (A) coordinatized by local ring A := Zq+Zq E (where prime power q = p', e0 Z q and 62 = 0). So, we get some combinatorical results on 6-figures. For example, we show that there exist p — 1 6-figure classes in M(A).

Keywords: cross-ratio, finite Klingenberg plane, ratio of 6-figure

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 921
1 Some Collineations Preserving Cross-Ratio in some Moufang-Klingenberg Planes

Authors: Basri Çelik, Atilla Akpinar, Suleyman Ciftci

Abstract:

In this paper we are interested in Moufang-Klingenberg planesM(A) defined over a local alternative ring A of dual numbers. We show that some collineations of M(A) preserve cross-ratio.

Keywords: Moufang-Klingenberg planes, local alternative ring, projective collineation, cross-ratio

Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 810