ON IRREDUCIBLE BLOCKING SETS IN PROJECTIVE PLANES

Stefano Innamorati, Antonio Maturo

Abstract


In a paper of Bruen and Silverman [7], it is proved that in a Desarguesian
projective plane of square order q, q>4, in the interval of the admissible cardinalities of irreducible blocking sets there are integers k such that there is no irreducible blocking set with k points. In this paper we prove that in a finite projective plane there is a sub-interval in which foranv integer it there
is at least one irreducible blocking set with k points.


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Copyright (c) 1991 Franco Eugeni

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Ratio Mathematica - Journal of Mathematics, Statistics, and Applications. ISSN 1592-7415; e-ISSN 2282-8214.