Non-residually finite C₂-lattices

2025/09/05 by Thomas Titz Mite, Mite, Thomas Titz, Stefan Witzel +1
Computer Science · #Advanced Algebra and Logic

paper · pdf · doi:10.48550/arxiv.2509.05054

Abstract

We provide the first examples of lattices on irreducible buildings that are not residually finite. Assuming that the normal subgroup property holds for them (which is expected) five of the lattices are simple.

Citations

• Finite and infinite quotients of discrete and indiscrete groups
• On the linearity of lattices in affine buildings and ergodicity of the singular Cartan flow
• CVXPY: A Python-Embedded Modeling Language for Convex Optimization
• Coarse Equivalences of Euclidean Buildings

Related

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• Quotients of Buildings by Non-uniform Lattices
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