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math.GR2014
Coxeter groups and random groups
Danny Calegari
For every dimension d, there is an infinite family of convex co-compact reflection groups of isometries of hyperbolic d-space --- the superideal (simplicial and cubical) reflection…
math.GR2014
3-manifolds everywhere
Danny Calegari, Henry Wilton
A random group contains many subgroups which are isomorphic to the fundamental group of a compact hyperbolic 3-manifold with totally geodesic boundary. These subgroups can be taken…
math.GR2014
Groups of PL homeomorphisms of cubes
Danny Calegari, Dale Rolfsen
We study algebraic properties of groups of PL or smooth homeomorphisms of unit cubes in any dimension, fixed pointwise on the boundary, and more generally PL or smooth groups actin…