Abstract
There are a number of important substructures associated with sets of points of antiregular quadrangles. Inspired by a construction of P. Wild, we associate with any four distinct collinear points p, q, r and s of an antiregular quadrangle an incidence structure which is the union of the two biaffine planes associated with {p, r} and {q, s}. We investigate when this incidence structure is a semi-biplane.
| Original language | English |
|---|---|
| Pages (from-to) | 625-637 |
| Number of pages | 13 |
| Journal | Bulletin of the Belgian Mathematical Society - Simon Stevin |
| Volume | 4 |
| Issue number | 5 |
| Publication status | Published - Dec 1997 |
| Externally published | Yes |
Keywords
- Antiregular quadrangles
- Generalized quadrangles
- Semi-biplanes