We give a construction which takes a rank two incidence geometry with three points on a line and returns a geometry of the same type, i.e., with three points on a line. It is also demonstrated that embeddings of the original geometry can be extended to the new geometry. It is shown that the family o
Some Constructions of Small Generalized Polygons
โ Scribed by Burkard Polster; Hendrik Van Maldeghem
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 315 KB
- Volume
- 96
- Category
- Article
- ISSN
- 0097-3165
No coin nor oath required. For personal study only.
โฆ Synopsis
We present several new constructions for small generalized polygons using small projective planes together with a conic or a unital, using other small polygons, and using certain graphs such as the Coxeter graph and the Pappus graph. We also give a new construction of the tilde geometry using the Petersen graph.
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