Ziya Akça, S. Ekmekçi, A. Bayar
Abstract
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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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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.
Key concepts: Fano plane, Projective plane, Plane (geometry), Order (exchange), Mathematics, Geometry, Economics, Finance