8 papers
The natural embedding of the Ree-Tits Octagon
Sebastian Petit, Hendrik Van Maldeghem
In this paper, we study and characterise the natural embedding of the Ree-Tits octagons. Keywords: Ree-Tits Octagon, Metasymplectic space, generalised octagon, generalised polygon
Lines and Opposition in Lie Incidence Geometries of Exceptional Type
Sira Busch, Hendrik Van Maldeghem
We characterise sets of points of exceptional Lie incidence geometries, that is, the natural geometries arising from spherical buildings of exceptional types , $\math…
Automorphisms of Lie incidence geometries with spectral gaps
Yannick Neyt, James Parkinson, Hendrik Van Maldeghem
An automorphism of a building is called uniclass if the Weyl distance between any chamber and its image lies in a unique (twisted) conjugacy class of the Coxeter group. In a previo…
On Wiegold's conjecture for the small Ree groups
Sira Busch, Mark Pengitore, Jeroen Schillewaert +1
The Wiegold conjecture holds for the small Ree groups for -tuples where .
Confluence Graphs of Unitals
Theo Grundhöfer, Markus J. Stroppel, Hendrik Van Maldeghem
We show that the cliques of maximal size in the confluence graph of an arbitrary unital of order have size , and that these cliques are the pencils of all blocks through…
Groups of Projectivities in Spherical Buildings of Non-Simply Laced Type
Sira Busch, Hendrik Van Maldeghem
In this article we describe the general and special projectivity groups for all irreducible residues of all thick, irreducible, spherical buildings of type , $ \ma…