2 papers
math.GR2026
On Chamber-regular -Lattices
Franziska Stamer, Thomas Titz Mite
We construct the first examples of chamber-regular lattices on -buildings. Assuming a conjecture of Kantor, our list of examples becomes a classification for type-prese…
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…