\(m\)-systems in some parapolar spaces (Q2710253)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: \(m\)-systems in some parapolar spaces |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(m\)-systems in some parapolar spaces |
scientific article |
Statements
22 April 2001
0 references
polar spaces
0 references
ovoids
0 references
spread
0 references
parapolar spaces
0 references
\(m\)-systems in some parapolar spaces (English)
0 references
The author shows that in certain classes of polar spaces, the existence of partial ovoids guarantees the existence of partial spreads and (or) \(m\)-systems. In particular, the existence of ovoids in these cases guarantees the existence of spreads. The properties of some polar spaces are studied as part of parapolar spaces that satisfies the `pentagon property' -- this class includes geometries like \(C_{n,2}(K)\) and \(F_{4,1}(K)\).NEWLINENEWLINEFor the entire collection see [Zbl 0940.00021].
0 references
