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Irregular hyperovals inPG(2, 64)
Authors:Tim Penttila  Ivano Pinneri
Institution:(1) Department of Mathematics, The University of Western Australia, 6009 Nedlands, W.A., Australia
Abstract:Two irregular hyperovals in the Desarguesian projective planePG(2, 64) of order 64 are constructed. One has a collineation stabiliser of order 60, the other a stabiliser of order 15. It is a lso shown, with the aid of a computer, that there are no more (irregular) hyperova ls inPG(2, 64) stabilised by a collineation of order 5.
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