2006DergiPark (Istanbul University)Requires access

On The Fano Subplanes of the Left Semifield Plane of Order 9

Ziya Akça, İbrahim Günaltılı, Ö. Güney

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Abstract

In this paper, we consider the projective plane of order 9, coordinatized by elements of a left semifleld. It is shown that the number of Fano subplanes of this projective plane is at least 155760.

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In this paper, we consider the projective plane of order 9, coordinatized by elements of a left semifleld. It is shown that the number of Fano subplanes of this projective plane is at least 155760.

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Available abstract

In this paper, we consider the projective plane of order 9, coordinatized by elements of a left semifleld. It is shown that the number of Fano subplanes of this projective plane is at least 155760.

Key concepts: Fano plane, Mathematics, Projective plane, Plane (geometry), Order (exchange), Geometry, Pure mathematics, Economics

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