Abstract
In Pralle and Shpectorov (Adv Geom 7(1):1-17, 2007) the class of ovoidal hyperplanes in dual polar spaces of rank 4 is described. In this paper we observe that by removing such a hyperplane and a related second hyperplane one obtains a nice geometry for the group stabilising the ovoidal hyperplane. We show that this group acts flag-transitively and that the geometry is simply connected.
Original language | English |
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Pages (from-to) | 65–82 |
Number of pages | 18 |
Journal | Geometriae Dedicata |
Volume | 173 |
Issue number | 1 |
Early online date | 25 Oct 2013 |
DOIs | |
Publication status | Published - Dec 2014 |
Keywords
- Affine
- Biaffine
- Flag-transitive
- Geometry
- Hyperplane
- Polar space
- Simply connected
ASJC Scopus subject areas
- Geometry and Topology