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On the Moufang condition for polar spaces
Sira Busch
We provide direct constructions of nontrivial root elations of thick generalized quadrangles embedded in thick polar spaces of higher finite rank and show that all of these can be…
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 point-line approach to the nonexistence of buildings of types and
Sira Busch
We present a novel proof for the fact that thick spherical buildings of types and do not exist. For that, we first provide an elementary axiom system…
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…