Line partitions of internal points to a conic in PG(2,q)

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Line partitions of internal points to a conic in PG(2, q)

All sets of lines providing a partition of the set of internal points to a conic C in PG(2, q), q odd, are determined. There exist only three such linesets up to projectivities, namely the set of all nontangent lines to C through an external point to C, the set of all nontangent lines to C through a point in C, and, for square q, the set of all nontangent lines to C belonging to a Baer subplane...

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ژورنال

عنوان ژورنال: Combinatorica

سال: 2009

ISSN: 0209-9683,1439-6912

DOI: 10.1007/s00493-009-2225-8