Abstract
We construct a family of 2-dimensional Laguerre planes that generalises ovoidal Laguerre planes and the Laguerre planes of shear type, as described by Löwen and Pfüller, by gluing together circle sets from up to eight different ovoidal Laguerre planes. Each plane in this family admits all maps (x, y) → (x, ry) for r > 0 as central automorphisms at the circle y = 0.
| Original language | English |
|---|---|
| Pages (from-to) | 69-83 |
| Number of pages | 15 |
| Journal | Bulletin of the Australian Mathematical Society |
| Volume | 61 |
| Issue number | 1 |
| Publication status | Published - Feb 2000 |
| Externally published | Yes |