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math.GR2025
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 .
math.GR2025
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…
math.GR2025
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…