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ON FANO CONFIGURATIONS OF THE LEFT HALL PLANE OF ORDER 9

Yıl 2016, Cilt: 4 Sayı: 2, 124 - 131, 01.10.2016

Öz

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

Kaynakça

  • [1] Akca, Z. - Gunaltili, I.- Guney,  O., On the Fano subplanes of the left semi eld plane of order 9. Hacet. J. Math. Stat. 35 (2006), no. 1, 55-61.
  • [2] Caliskan, C - Moorhouse, G. E., Subplanes of order 3 in Hughes planes, The Electronic Journal of Combinatorics 18 (2011), 1-8.
  • [3] Ciftci, S - Kaya, R., On the Fano Subplanes in the Translation Plane of order 9, Doga-Tr. J. of Mathematics 14 (1990), 1-7.
  • [4] Hall, M - Swift, J.D. - Killgrove, R., On projective planes of order nine, Math. Tables and Other Aids Comp. 13 (1959), 233-246.
  • [5] Room, T.G - Kirkpatrick, P.B., Miniquaternion Geometry, London, Cambridge University Press, 177, (1971).
  • [6] Veblen, O. - Wedderburn, J.H.M., Non-Desarguesian and non-Pascalian geometries, Trans. Amer. Math. Soc. 8 (1907), 379-388.
  • [7] Tas, M., On the con guartions of projective plane of order 9 founded over left Hall system, ESOGU Sci. Enst., 2015.
Yıl 2016, Cilt: 4 Sayı: 2, 124 - 131, 01.10.2016

Öz

Kaynakça

  • [1] Akca, Z. - Gunaltili, I.- Guney,  O., On the Fano subplanes of the left semi eld plane of order 9. Hacet. J. Math. Stat. 35 (2006), no. 1, 55-61.
  • [2] Caliskan, C - Moorhouse, G. E., Subplanes of order 3 in Hughes planes, The Electronic Journal of Combinatorics 18 (2011), 1-8.
  • [3] Ciftci, S - Kaya, R., On the Fano Subplanes in the Translation Plane of order 9, Doga-Tr. J. of Mathematics 14 (1990), 1-7.
  • [4] Hall, M - Swift, J.D. - Killgrove, R., On projective planes of order nine, Math. Tables and Other Aids Comp. 13 (1959), 233-246.
  • [5] Room, T.G - Kirkpatrick, P.B., Miniquaternion Geometry, London, Cambridge University Press, 177, (1971).
  • [6] Veblen, O. - Wedderburn, J.H.M., Non-Desarguesian and non-Pascalian geometries, Trans. Amer. Math. Soc. 8 (1907), 379-388.
  • [7] Tas, M., On the con guartions of projective plane of order 9 founded over left Hall system, ESOGU Sci. Enst., 2015.
Toplam 7 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

Z. Akca

S. Ekmekcı

A. Bayar

Yayımlanma Tarihi 1 Ekim 2016
Gönderilme Tarihi 16 Temmuz 2015
Yayımlandığı Sayı Yıl 2016 Cilt: 4 Sayı: 2

Kaynak Göster

APA Akca, Z., Ekmekcı, S., & Bayar, A. (2016). ON FANO CONFIGURATIONS OF THE LEFT HALL PLANE OF ORDER 9. Konuralp Journal of Mathematics, 4(2), 124-131.
AMA Akca Z, Ekmekcı S, Bayar A. ON FANO CONFIGURATIONS OF THE LEFT HALL PLANE OF ORDER 9. Konuralp J. Math. Ekim 2016;4(2):124-131.
Chicago Akca, Z., S. Ekmekcı, ve A. Bayar. “ON FANO CONFIGURATIONS OF THE LEFT HALL PLANE OF ORDER 9”. Konuralp Journal of Mathematics 4, sy. 2 (Ekim 2016): 124-31.
EndNote Akca Z, Ekmekcı S, Bayar A (01 Ekim 2016) ON FANO CONFIGURATIONS OF THE LEFT HALL PLANE OF ORDER 9. Konuralp Journal of Mathematics 4 2 124–131.
IEEE Z. Akca, S. Ekmekcı, ve A. Bayar, “ON FANO CONFIGURATIONS OF THE LEFT HALL PLANE OF ORDER 9”, Konuralp J. Math., c. 4, sy. 2, ss. 124–131, 2016.
ISNAD Akca, Z. vd. “ON FANO CONFIGURATIONS OF THE LEFT HALL PLANE OF ORDER 9”. Konuralp Journal of Mathematics 4/2 (Ekim 2016), 124-131.
JAMA Akca Z, Ekmekcı S, Bayar A. ON FANO CONFIGURATIONS OF THE LEFT HALL PLANE OF ORDER 9. Konuralp J. Math. 2016;4:124–131.
MLA Akca, Z. vd. “ON FANO CONFIGURATIONS OF THE LEFT HALL PLANE OF ORDER 9”. Konuralp Journal of Mathematics, c. 4, sy. 2, 2016, ss. 124-31.
Vancouver Akca Z, Ekmekcı S, Bayar A. ON FANO CONFIGURATIONS OF THE LEFT HALL PLANE OF ORDER 9. Konuralp J. Math. 2016;4(2):124-31.
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