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math.GR2026
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…
math.CO2026
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…