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Fano subplanes in finite Figueroa planes

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Abstract

It has been conjectured that all non-desarguesian projective planes contain a Fano subplane. The Figueroa planes are a family of non-translation planes that are defined for both infinite orders and finite order q 3 for q > 2 a prime power. We will show that there is an embedded Fano subplane in the Figueroa plane of order q 3 for q any prime power.

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  1. Department of Mathematical Sciences, University of Delaware, 501 Ewing Hall, Newark, DE, 19716, USA

    Bryan Petrak

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  1. Bryan Petrak
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Correspondence to Bryan Petrak.

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Petrak, B. Fano subplanes in finite Figueroa planes. J. Geom. 99, 101–106 (2010). https://doi.org/10.1007/s00022-011-0064-4

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  • DOI: https://doi.org/10.1007/s00022-011-0064-4

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