Abstract
Hans Cuypers (Preprint) describes a characterisation of the geometry on singular points and hyperbolic lines of a finite unitary space-the hyperbolic unitary geometry-using information about the planes. In the present article we describe an alternative local characterisation based on Cuypers' work and on a local recognition of the graph of hyperbolic lines with perpendicularity as adjacency. This paper can be viewed as the unitary analogue of the second author's article (J. Comb. Theory Ser. A 105:97-110, 2004) on the hyperbolic symplectic geometry.
| Original language | English |
|---|---|
| Pages (from-to) | 547-583 |
| Number of pages | 37 |
| Journal | Journal of Algebraic Combinatorics |
| Volume | 31 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1 Jun 2010 |
Keywords
- Root group geometry
- Centralisers of involutions
- Hyperbolic unitary geometry
- Local recognition graphs