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External points to a conic from a Baer subplane

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Abstract

For an irreducible conic \({\mathcal {C}}\) in a Desarguesian plane of odd square order, estimating the number of points, from a Baer subplane, which are external to \({\mathcal {C}}\) is a natural problem. In this paper, a complete list of possibilities is determined for the case where \({\mathcal {C}}\) shares at least one point with the subplane.

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Acknowledgements

The research of V. Pallozzi L. was partially supported by the Italian National Group for Algebraic and Geometric Structures and their Applications (GNSAGA–INdAM) and by the National Science Foundation under Grant No. 2127742.

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  1. Department of Mathematics, University of South Florida, Tampa, USA

    Vincenzo Pallozzi Lavorante

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  1. Vincenzo Pallozzi Lavorante
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Correspondence to Vincenzo Pallozzi Lavorante.

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Communicated by D. Ghinelli.

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Pallozzi Lavorante, V. External points to a conic from a Baer subplane. Des. Codes Cryptogr. 91, 1427–1441 (2023). https://doi.org/10.1007/s10623-022-01156-7

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  • DOI: https://doi.org/10.1007/s10623-022-01156-7

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