✦ LIBER ✦
Some Infinite Families of Locally Partial Geometries Generalizing the Classical Laguerre Planes
✍ Scribed by Cécile Huybrechts
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 424 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
✦ Synopsis
Starting with a subgeometry (\Omega) embedded in a (\beta)-dimensional projective space (P G(\beta, q)), (\beta \geqslant 1), we construct inductively a series of rank (n) residually connected geometries (\Gamma^{(n, \beta, \Omega)}), (n \geqslant \beta), by putting (\Gamma^{(\beta, \beta, \Omega)}=\Omega) and extending (\Gamma^{(n-1, \beta, \Omega)}) with a partial geometry.