Research Article
BibTex RIS Cite

Year 2016, Volume: 4 Issue: 4, 266 - 275, 31.12.2016

Ayse Bayar Ziya Akca , E. Altintas Suheyla Ekmekci

Abstract

References

  • Z.Akça - S.Ekmekçi - A.Bayar, On Fano Configurations of the Left Hall Plane of order 9, Konuralp journal of mathematics (to appear) (2016).
  • E. Altıntaş, On arcs containing the Fano plane in the left near field plane of order 9, ESOGU Sci. Enst, (2015).
  • M. Hall - Jr, J.D. Swift - R. Killgrove, On projective planes of order nine, Math. Tables and Other Aids Comp. 13 (1959) 233-246.
  • T.G. Room - P.B. Kirkpatrick, Miniquaternion Geometry, London, Cambridge University Press, 177, (1971).
  • M. Taş, On the configuartions of projective plane of order 9 founded over left Hall system, ESOGU Sci. Enst., 2015.
  • O. Veblen and J.H.M. Wedderburn, Non-Desarguesian and non-Pascalian geometries, Trans. Amer. Math. Soc. 8 (1907), 379–388.
  • http://fef.ogu.edu.tr/matbil/zakca//FanoPointsFinder.

On the complete arcs containing the quadrangles constructing the Fano planes of the left near field plane of order 9

Year 2016, Volume: 4 Issue: 4, 266 - 275, 31.12.2016

Ayse Bayar Ziya Akca , E. Altintas Suheyla Ekmekci

Abstract

 In this paper, we introduce a method to find arcs in the projective plane of order 9 coordinatized by elements of a left nearfield of order 9. We give an algorithm for checking arcs in this projective plane and apply the algorithm (implemented in C#) to determine and classify arcs.

Keywords

Near field projective plane

References

  • Z.Akça - S.Ekmekçi - A.Bayar, On Fano Configurations of the Left Hall Plane of order 9, Konuralp journal of mathematics (to appear) (2016).
  • E. Altıntaş, On arcs containing the Fano plane in the left near field plane of order 9, ESOGU Sci. Enst, (2015).
  • M. Hall - Jr, J.D. Swift - R. Killgrove, On projective planes of order nine, Math. Tables and Other Aids Comp. 13 (1959) 233-246.
  • T.G. Room - P.B. Kirkpatrick, Miniquaternion Geometry, London, Cambridge University Press, 177, (1971).
  • M. Taş, On the configuartions of projective plane of order 9 founded over left Hall system, ESOGU Sci. Enst., 2015.
  • O. Veblen and J.H.M. Wedderburn, Non-Desarguesian and non-Pascalian geometries, Trans. Amer. Math. Soc. 8 (1907), 379–388.
  • http://fef.ogu.edu.tr/matbil/zakca//FanoPointsFinder.
There are 7 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Ayse Bayar This is me

Ziya Akca

E. Altintas This is me

Suheyla Ekmekci This is me

Publication Date December 31, 2016
Published in Issue Year 2016 Volume: 4 Issue: 4

Cite

APA Bayar, A., Akca, Z., Altintas, E., Ekmekci, S. (2016). On the complete arcs containing the quadrangles constructing the Fano planes of the left near field plane of order 9. New Trends in Mathematical Sciences, 4(4), 266-275.
AMA Bayar A, Akca Z, Altintas E, Ekmekci S. On the complete arcs containing the quadrangles constructing the Fano planes of the left near field plane of order 9. New Trends in Mathematical Sciences. December 2016;4(4):266-275.
Chicago Bayar, Ayse, Ziya Akca, E. Altintas, and Suheyla Ekmekci. “On the Complete Arcs Containing the Quadrangles Constructing the Fano Planes of the Left Near Field Plane of Order 9”. New Trends in Mathematical Sciences 4, no. 4 (December 2016): 266-75.
EndNote Bayar A, Akca Z, Altintas E, Ekmekci S (December 1, 2016) On the complete arcs containing the quadrangles constructing the Fano planes of the left near field plane of order 9. New Trends in Mathematical Sciences 4 4 266–275.
IEEE A. Bayar, Z. Akca, E. Altintas, and S. Ekmekci, “On the complete arcs containing the quadrangles constructing the Fano planes of the left near field plane of order 9”, New Trends in Mathematical Sciences, vol. 4, no. 4, pp. 266–275, 2016.
ISNAD Bayar, Ayse et al. “On the Complete Arcs Containing the Quadrangles Constructing the Fano Planes of the Left Near Field Plane of Order 9”. New Trends in Mathematical Sciences 4/4 (December 2016), 266-275.
JAMA Bayar A, Akca Z, Altintas E, Ekmekci S. On the complete arcs containing the quadrangles constructing the Fano planes of the left near field plane of order 9. New Trends in Mathematical Sciences. 2016;4:266–275.
MLA Bayar, Ayse et al. “On the Complete Arcs Containing the Quadrangles Constructing the Fano Planes of the Left Near Field Plane of Order 9”. New Trends in Mathematical Sciences, vol. 4, no. 4, 2016, pp. 266-75.
Vancouver Bayar A, Akca Z, Altintas E, Ekmekci S. On the complete arcs containing the quadrangles constructing the Fano planes of the left near field plane of order 9. New Trends in Mathematical Sciences. 2016;4(4):266-75.