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

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

1. Z.Akça - S.Ekmekçi - A.Bayar, On Fano Configurations of the Left Hall Plane of order 9, Konuralp journal of mathematics (to appear) (2016).
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7. http://fef.ogu.edu.tr/matbil/zakca//FanoPointsFinder.