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A characterization of exterior lines of certain sets of points in PG (2, q)

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Abstract

Let A and B be disjoint sets of points in PG(2, q) the Desarguesian projective plane of order q, with |A|≥q, |B|=q+1, such that each line through a point of A meets B (just once). Then B is a line.

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References

  1. Bruen, A. A. and Thas, J., ‘Flocks, Chains and Configurations in Finite Geometries’, Atti del Acc. Naz. dei Lincei, LIX, (6), 744–748.

  2. Segre, B. and Korchmaros, G., ‘Una proprietà degli insiemi di punti, ecc’, Acc. Naz. dei Lincei, Rend. Sc. fis. Mat. Nat. LXII, Maggio, 1977.

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Authors and Affiliations

  1. Dept. of Mathematics and Computer Science, Technological University Eindhoven, Postbus 513, 5600 MB, Eindhoven, The Netherlands

    A. Blokhuis & H. A. Wilbrink

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  1. A. Blokhuis
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  2. H. A. Wilbrink
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Blokhuis, A., Wilbrink, H.A. A characterization of exterior lines of certain sets of points in PG (2, q). Geom Dedicata 23, 253–254 (1987). https://doi.org/10.1007/BF00181280

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  • DOI: https://doi.org/10.1007/BF00181280

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