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math.GR2023
Isometries of wall-connected twin buildings
Sebastian Bischof, Bernhard Mühlherr
We introduce the notion of a wall-connected twin building and show that the local-to-global principle holds for these twin buildings. As each twin building satisfying Condition (co…
math.GR2023★ 1 cited
On isometries of twin buildings
Sebastian Bischof, Anton Chosson, Bernhard Mühlherr
A twin building consists of two buildings that are twinned by a codistance function. We prove that the local structure of a twin building uniquely determines the two buildings up t…
math.GR2016
Moufang Twin Trees of prime order
Matthias Grüninger, Max Horn, Bernhard Mühlherr
We prove that the unipotent horocyclic group of a Moufang twin tree of prime order is nilpotent of class at most 2.