Abstract
Let Π be a thick polar space of rank n ≥ 3. Pick a hyperplane F of Π and Η of Π. Define the elements of a biaffine polar space Γ to be those elements of Π which are not contained in F, or dually in Η. We show that Γ is a simply connected geometry, except for a few small exceptions for Π. We give a construction that leads to flag-transitive examples.
| Original language | English |
|---|---|
| Pages (from-to) | 449-469 |
| Number of pages | 21 |
| Journal | Advances in Geometry |
| Volume | 13 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 1 Jul 2013 |