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On the nuclei of a pointset of a finite projective plane

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Abstract

In this paper we study subset N(K) of a set K the points of which are not in a collinear triplet of K and prove that ¦N(K)¦≤(q+1)/2 or N(K)=K if K is a (q+1)-set of PG(2,q). We describe all the k-arcs of AG(2,q) the secants of which meet the ideal line exactly in k points.

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Authors and Affiliations

  1. Transport Engineering Faculty Department of Mathematics, Technical University of Budapest, Muegyetem rakpart 9, H-1111, Budapest, Hungary

    Ferenc Wettl

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  1. Ferenc Wettl
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Dedicated to Professor Ferenc Kárteszi on his 80th birthday

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Wettl, F. On the nuclei of a pointset of a finite projective plane. J Geom 30, 157–163 (1987). https://doi.org/10.1007/BF01227813

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  • DOI: https://doi.org/10.1007/BF01227813

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