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Generalized Q-sets in a finite locally projective planar space

Paola Biondi,Pia Maria Lo Re

Discrete Mathematics（1999）

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Abstract
Generalized Q-sets in a locally projective planar space S of order n are defined. If S contains a non-degenerate generalized Q-set Q and the order n (>4) of S is even, we prove that S is embeddable in PG(3, n ) and Q is isomorphic to an ovoid or a hyperbolic quadric of PG(3, n ).
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Key words
quadrics,projective planar space,generalized q-sets,ovoids,planar spaces
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