32 citations · 93 across the 27 of their papers we have counts for
4 papers · 2 filters
Divergence in right-angled Coxeter groups
Pallavi Dani, Anne Thomas
Let W be a 2-dimensional right-angled Coxeter group. We characterise such W with linear and quadratic divergence, and construct right-angled Coxeter groups with divergence polynomi…
Cocompact lattices on \tilde{A}_n buildings
Inna Capdeboscq, Dmitriy Rumynin, Anne Thomas
Let K be the field of formal Laurent series over the finite field of order q. We construct cocompact lattices Γ'_0 < Γ_0 in the group G = PGL_d(K) which are type-preserving and act…
Lattices in hyperbolic buildings
Anne Thomas
This survey is a brief introduction to the theory of hyperbolic buildings and their lattices, with a focus on recent results.
Cocompact lattices in complete Kac-Moody groups with Weyl group right-angled or a free product of spherical special subgroups
Inna Capdeboscq, Anne Thomas
Let G be a complete Kac-Moody group of rank n \geq 2 over the finite field of order q, with Weyl group W and building Δ. We first show that if W is right-angled, then for all q \ne…