Substructures in finite classical polar spaces
β Scribed by Klaus Metsch
- Publisher
- Springer
- Year
- 2011
- Tongue
- English
- Weight
- 170 KB
- Volume
- 101
- Category
- Article
- ISSN
- 0047-2468
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π SIMILAR VOLUMES
## Let F 2Ξ½ q denote a 2Ξ½-dimensional vector space over a finite field F q with a non-degenerate form of Witt index Ξ½, and G denote the corresponding isometry group. Let W be a fixed maximal flat, and Ξ be the set of all the minimal flats not contained in W . The set-wise stabilizer of W in G acts
Let 2 be a finite thick dual polar space of rank 3. We say that a hyperplane H of 2 is locally singular (respectively, quadrangular or ovoidal) if H & Q is the perp of a point (resp. a subquadrangle or an ovoid) of Q for every quad Q of 2. If H is locally singular, quadrangular, or ovoidal, then we