A blocking semioval in a projective plane is a set of points which is both a semioval and a blocking set. In this paper, blocking semiovals in the Desaguesian projective plane PG(2, s^2) admitting an order s+1 homology group are considered. The geometry of the point-orbits of such a group is studied. Using this geometry two new blocking semiovals are constructed in PG(2, 5^2). Their automorphism group is also discussed.
Some blocking semiovals of homology type in planes of square order
SICILIANO, Alessandro
2014-01-01
Abstract
A blocking semioval in a projective plane is a set of points which is both a semioval and a blocking set. In this paper, blocking semiovals in the Desaguesian projective plane PG(2, s^2) admitting an order s+1 homology group are considered. The geometry of the point-orbits of such a group is studied. Using this geometry two new blocking semiovals are constructed in PG(2, 5^2). Their automorphism group is also discussed.File in questo prodotto:
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