ON FANO CONFIGURATIONS OF THE LEFT HALL PLANE OF ORDER 9

Year 2016, Volume: 4 Issue: 2, 124 - 131, 01.10.2016

Z. Akca S. Ekmekcı A. Bayar

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.

Keywords

Near field, Projective plane, Fano plane

References

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