Dual partial quadrangles embedded in PG(3,q)
نویسندگان
چکیده
The projective full embeddings of partial geometries are known. So are the projective full embeddings of semipartial and dual semipartial geometries in case of a > 1. If a 1⁄4 1, a semipartial geometry is known as a partial quadrangle. No projective full embedding of a proper partial quadrangle is known. However besides a unique example for q 1⁄4 2, there is one example known of a dual partial quadrangle fully embedded in a PGð3; qÞ, any q. In this paper we will prove that if the dual of a proper partial quadrangle S is fully embedded in PGð3; qÞ, then mc q q tþ1 . If equality holds, then S is uniquely defined.
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