Translation ovoids over skew fields |
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Authors: | Jill C D S Yaqub |
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Institution: | (1) 4922 Olentangy Blvd, 43214 Columbus, Ohio, USA |
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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 n 3, a translation ovoid in PG(n, F) is (p, q) transitive for some (every) {p, q}![sub](/content/g43487w507210413/xxlarge8834.gif) ![OHgr](/content/g43487w507210413/xxlarge937.gif) F is communtative and is a hyperquadric.Dedicated to Professor Dr Helmut R. Salzmann on the occasion of his 60th birthday |
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