A construction of lattices for certain hyperbolic buildings

2006/07/18 by Anne Thomas, Thomas, Anne
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #math.GR

paper · pdf · doi:10.48550/arxiv.math/0607430

4 pages, 3 figures

arxiv created 2006/12/04 · arxiv updated 2009/12/01

Abstract

We construct a nonuniform lattice and an infinite family of uniform lattices in the automorphism group of a hyperbolic building with all links a fixed finite building of rank 2 associated to a Chevalley group. We use complexes of groups and basic facts about spherical buildings.

Related

• Lattices in hyperbolic buildings
• Triangular hyperbolic buildings
• Hyperbolic buildings, affine buildings and automatic groups
• Affine buildings for dihedral groups
• Buildings, Group Homology and Lattices