Connectedness of Opposite-flag Geometries in Moufang Polygons
โ Scribed by Peter Abramenko; Hendrik Van Maldeghem
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 132 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0195-6698
No coin nor oath required. For personal study only.
โฆ Synopsis
We show that the geometry of the elements opposite a certain flag in a Moufang polygon is always connected, up to some small cases. This completes the determination of all Moufang polygons for which this geometry is disconnected.
๐ SIMILAR VOLUMES
The flag geometry 1=(P, L, I) of a finite projective plane 6 of order s is the generalized hexagon of order (s, 1) obtained from 6 by putting P equal to the set of all flags of 6, by putting L equal to the set of all points and lines of 6, and where I is the natural incidence relation (inverse conta
The flag geometry 1=(P, L, I) of a finite projective plane 6 of order s is the generalized hexagon of order (s, 1) obtained from 6 by putting P equal to the set of all flags of 6, by putting L equal to the set of all points and lines of 6, and where I is the natural incidence relation (inverse conta