Exceptional Extended Dual Polar Spaces
โ Scribed by A.A. Ivanov
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 410 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0195-6698
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โฆ Synopsis
We address the classification problem of flag-transitive geometries with diagrams of the form 1
๐ SIMILAR VOLUMES
Let n 2, let K, K be fields such that K is a quadratic Galoisextension of K and let ฮธ denote the unique nontrivial element in Gal(K /K). Suppose the symplectic dual polar space DW (2n -1, K) is fully and isometrically embedded into the Hermitian dual polar space DH(2n -1, K , ฮธ). We prove that the p
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