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Translation ovoids over skew fields
Authors:Jill C D S Yaqub
Institution:(1) 4922 Olentangy Blvd, 43214 Columbus, Ohio, USA
Abstract:We extend Tits' characterization of the translation ovoids in PG(n, F) to the case that F is a skew field, and give examples. We show that, for nge3, a translation ovoid OHgr in PG(n, F) is (p, q) transitive for some (every) {p, q}subOHgrhArrF is communtative and OHgr is a hyperquadric.Dedicated to Professor Dr Helmut R. Salzmann on the occasion of his 60th birthday
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