We classify the flocks of quadratic cones in PG(3, q), q odd, that admit the group G โค PGL(4, q) acting doubly transitively on the conics of the flock. This yields, in conjunction with a predecessor to this paper, a complete classification of the doubly transitive oval and quadratic flocks in PG(3,
โฆ LIBER โฆ
Partial flocks of the quadratic cone
โ Scribed by Peter Sziklai
- Book ID
- 108167158
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 121 KB
- Volume
- 113
- Category
- Article
- ISSN
- 0097-3165
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This article gives a complete classification of even order flocks of oval cones that admit linear doubly transitive automorphism groups. The main theorem shows that the only possible even order examples are the linear flocks, the translation oval flocks of Thas and the Betten-Fisher-Thas-Walker floc