ON BUEKENHOUT-METZ UNITALS

Citation
Lra. Casse et G. Lunardon, ON BUEKENHOUT-METZ UNITALS, Bulletin of the Belgian Mathematical Society Simon Stevin, 5(2-3), 1998, pp. 237-240
Citations number
10
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
13701444
Volume
5
Issue
2-3
Year of publication
1998
Pages
237 - 240
Database
ISI
SICI code
1370-1444(1998)5:2-3<237:>2.0.ZU;2-D
Abstract
Let Sigma' = PG(4, q), Sigma be a hyperplane of Sigma' and F be a regu lar spread of Sigma. Denote by pi(Sigma', Sigma, F) similar or equal t o PG(2, q(2)) the projective plane constructed using F. We give a simp le proof that if U is a Buekenhout-Metz unital of the plane pi(Sigma', Sigma, F) defined by an elliptic cone U of Sigma', then there is a re gular spread F' of Sigma such that U defines a hermitian curve of pi(S igma', Sigma, F') similar or equal to PG(2, q(2)).