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Journals / Konuralp Journal of Mathematics / 2016 / Volume: 4 Issue: 2

ON FANO CONFIGURATIONS OF THE LEFT HALL PLANE OF ORDER 9

Z. Akca
S. Ekmekcı
A. Bayar
Pages
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Publication Date
2016-10-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we introduce Fano subplanes of the projective plane of order 9 coordinatized by elements of a left nearfield of order 9.
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Key Findings & Data:In this paper, we introduce Fano subplanes of the projective plane of order 9 coordinatized by elements of a left nearfield of order 9.
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Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Near field · Projective plane · Fano plane

Abstract

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.

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Cite This Article

Akca, Z., Ekmekcı, S., Bayar, A. (2016). ON FANO CONFIGURATIONS OF THE LEFT HALL PLANE OF ORDER 9. Konuralp Journal of Mathematics, Volume: 4 Issue: 2. https://ajindex.com/articles/1521875

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References (7)

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  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.