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.
|Number of pages||18|
|Early online date||25 Oct 2013|
|Publication status||Published - Dec 2014|
- Polar space
- Simply connected
ASJC Scopus subject areas
- Geometry and Topology