6 papers
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…
Groups of Projectivities and Levi Subgroups in Spherical Buildings of Simply Laced Type
Sira Busch, Jeroen Schillewaert, Hendrik Van Maldeghem
We introduce the special and general projectivity groups attached to a simplex of a thick irreducible spherical building of simply laced type. If the residue of is irreduci…
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 .
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…
A Characterization of Lines in Finite Lie Incidence Geometries of Classical Type
Sira Busch, Hendrik Van Maldeghem
We consider any classical Grassmannian geometry ; that is, any projective or polar Grassmann space. Suppose every line in contains points. Then we classify all sets…
The Moufang Condition and Root Automorphisms for Spherical Buildings of Rank 3
Sira Busch
We give direct, geometric constructions for nontrivial root elations for rank residues of higher rank buildings of type and for…