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math.GR2026
The Normal Subgroup Theorem for lattices on two-dimensional Euclidean buildings
Jean Lécureux, Stefan Witzel
We prove the normal subgroup property for every group that acts properly and cocompactly on a two-dimensional Euclidean building: every normal subgroup has finite index or is conta…
math.GR2025
Non-residually finite -lattices
Thomas Titz Mite, Stefan Witzel
We provide the first known examples of non-residually finite lattices on irreducible buildings. They contain the first known simple CAT(0)-groups with property (T), and the first k…
math.GR2024
Pragmatic finiteness properties of locally compact groups
Dorian Chanfi, Stefan Witzel
We compare finiteness properties of locally compact groups that generalize the properties of being compactly generated and of being compactly presented. Three such families of prop…