Some properties of the Biggs-Smith geometry (Q2471482)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some properties of the Biggs-Smith geometry |
scientific article |
Statements
Some properties of the Biggs-Smith geometry (English)
0 references
22 February 2008
0 references
The authors settle two problems posed in \textit{H. Van Maldeghem} [Ann. Comb. 6, No. 2, 209--228 (2002; Zbl 1014.51006)]; they prove: {\parindent=5mm\begin{itemize}\item[1.]The Biggs-Smith geometry has generating rank equal to 19. Consequently, the generating rank is equal to the universal embedding rank. \item[2.]The Biggs-Smith geometry has 18 ovoids, each consisting of 34 points. \end{itemize}}
0 references
Biggs-Smith geometry
0 references
bislim geometry
0 references
embedding
0 references
universal embedding rank
0 references
generating rank
0 references
ovoid
0 references
