A construction of lattices for certain hyperbolic buildings

Mathematics – Group Theory

Scientific paper

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4 pages, 3 figures

Scientific paper

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.

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