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Yıl 2016, Cilt: 4 Sayı: 4, 266 - 275, 31.12.2016

Ayse Bayar Ziya Akca , E. Altintas Suheyla Ekmekci

Öz

Kaynakça

  • 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

Yıl 2016, Cilt: 4 Sayı: 4, 266 - 275, 31.12.2016

Ayse Bayar Ziya Akca , E. Altintas Suheyla Ekmekci

Öz

 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.

Anahtar Kelimeler

Near field projective plane

Kaynakça

  • 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.
Toplam 7 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Articles
Yazarlar

Ayse Bayar Bu kişi benim

Ziya Akca

E. Altintas Bu kişi benim

Suheyla Ekmekci Bu kişi benim

Yayımlanma Tarihi 31 Aralık 2016
Yayımlandığı Sayı Yıl 2016 Cilt: 4 Sayı: 4

Kaynak Göster

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. Aralık 2016;4(4):266-275.
Chicago Bayar, Ayse, Ziya Akca, E. Altintas, ve 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, sy. 4 (Aralık 2016): 266-75.
EndNote Bayar A, Akca Z, Altintas E, Ekmekci S (01 Aralık 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, ve 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, c. 4, sy. 4, ss. 266–275, 2016.
ISNAD Bayar, Ayse vd. “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 (Aralık 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 vd. “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, c. 4, sy. 4, 2016, ss. 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.