✦ LIBER ✦

Translation ovoids over skew fields

✍ Scribed by Jill C. D. S. Yaqub

Book ID: 104643512
Publisher: Springer
Year: 1990
Tongue: English
Weight: 487 KB
Volume: 36
Category: Article
ISSN: 0046-5755
DOI: 10.1007/bf00150793

No coin nor oath required. For personal study only.

✦ Synopsis

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 £2 is a hyperquadric.

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