Thomas Titz Mite

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math.GR2026

On Chamber-regular $C ~_{2}$ -Lattices

Franziska Stamer, Thomas Titz Mite

We construct the first examples of chamber-regular lattices on $C ~_{2}$ -buildings. Assuming a conjecture of Kantor, our list of examples becomes a classification for type-prese…

math.GR2025

Non-residually finite $C ~_{2}$ -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…

On Chamber-regular C~2​-Lattices

Non-residually finite C~2​-lattices

On Chamber-regular $C ~_{2}$ -Lattices

Non-residually finite $C ~_{2}$ -lattices