ON FANO CONFIGURATIONS OF THE LEFT HALL PLANE OF ORDER 9

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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