In a paper of Bruen and Silverman, 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 for any integer k there is at least one irreducible blocking set with k points.
On irreducible blocking sets in projective planes
INNAMORATI, STEFANO;
1991-01-01
Abstract
In a paper of Bruen and Silverman, 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 for any integer k there is at least one irreducible blocking set with k points.File in questo prodotto:
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