A C2-tilde-lattice that is not residually finite

2023/10/05 by Mite, Thomas Titz, Witzel, Stefan
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2310.03662

Abstract

We construct the first example of a lattice on an irreducible Euclidean building that is not residually finite. Conjecturally, the normal subgroup theorem extends to this lattice making it virtually simple.

Related

• Non-residually finite C₂-lattices
• Lattices in \Rⁿ\rtimes\SL₂(\R)
• Graphs and complexes of lattices
• Quotients of Buildings by Non-uniform Lattices
• Extremality in semidistributive lattices