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math.GR2020
Cusped spaces and quasi-isometries of relatively hyperbolic groups
Brendan Burns Healy, G. Christopher Hruska
A group with a family of subgroups is relatively hyperbolic if admits a cusp-uniform action on a proper --hyperbolic space. We show that any two such spaces…
math.GR2018
Nonhyperbolic Coxeter groups with Menger curve boundary (with erratum)
Matthew Haulmark, G. Christopher Hruska, Bakul Sathaye
A generic finite presentation defines a word hyperbolic group whose boundary is homeomorphic to the Menger curve. In this article, we produce the first known examples of non-hyperb…
math.GR2004
Commensurability invariants for nonuniform tree lattices
Benson Farb, G. Christopher Hruska
We study nonuniform lattices in the automorphism group G of a locally finite simplicial tree X. In particular, we are interested in classifying lattices up to commensurability in G…