236 citations · 357 across the 17 of their papers we have counts for
18 papers
Relatively hyperbolic groups with planar boundaries
G. Christopher Hruska, Genevieve S. Walsh
In this article, we prove a version of Martin and Skora's conjecture that convergence groups on the -sphere are covered by Kleinian groups. Given a relatively hyperbolic group p…
Hyperbolic groups and local connectivity
G. Christopher Hruska, Kim Ruane
The goal of this paper is to give an exposition of some results of Bestvina-Mess on local connectivity of the boundary of a one-ended word hyperbolic group. We also give elementary…
Local connectedness of boundaries for relatively hyperbolic groups
Ashani Dasgupta, G. Christopher Hruska
Let be a relatively hyperbolic group pair that is relatively one ended. Then the Bowditch boundary of is locally connected. Bowditch previously es…
Coarse Alexander duality for pairs and applications
G. Christopher Hruska, Emily Stark, Hung Cong Tran
For a group (of type ) acting properly on a coarse Poincaré duality space , Kapovich-Kleiner introduced a coarse version of Alexander duality between and its compleme…
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…
Planar boundaries and parabolic subgroups
G. Christopher Hruska, Genevieve S. Walsh
We study the Bowditch boundaries of relatively hyperbolic group pairs, focusing on the case where there are no cut points. We show that if is a rigid relatively h…