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Translation ovoids

โœ Scribed by Guglielmo Lunardon

Book ID
113014299
Publisher
Springer
Year
2003
Tongue
English
Weight
165 KB
Volume
76
Category
Article
ISSN
0047-2468

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๐Ÿ“œ SIMILAR VOLUMES

Ovoidal translation planes
Ovoidal translation planes
โœ J. A. Thas ๐Ÿ“‚ Article ๐Ÿ“… 1972 ๐Ÿ› Springer ๐ŸŒ English โš– 173 KB
Translation ovoids over skew fields
Translation ovoids over skew fields
โœ Jill C. D. S. Yaqub ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Springer ๐ŸŒ English โš– 487 KB

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 I2 in PG(n, F) is (p, q) transitive for some (every) {p, q} c f2c~F is commutative and ยฃ2 is a hyperquadric.

Ovals in Translation Hyperovals and Ovoi
Ovals in Translation Hyperovals and Ovoids
โœ Christine M. O'Keefe; Tim Penttila ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 399 KB

Let แป be an ovoid of PG(3 , q ) , q even , such that each secant plane section is an oval contained in a translation hyperoval . Then แป is shown to be either an elliptic quadric or a Tits ovoid .