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Desarguesian nets without ovals
Authors:David A. Drake
Affiliation:Department of Mathematics, University of Florida, Gainesville, FL 32611, USA
Abstract:Let Π be the Desarguesian affine plane coordinatized by a division ring D with charD≠2. For n=6 and also for n=7, we prove that Π holds an n-net without an oval if and only if |D|?9.
Keywords:Desarguesian   Net   Oval   Division ring
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