44 citations · 90 across the 17 of their papers we have counts for
20 papers
Hyperbolic boundaries vs. hyperbolic groups
Michael Ben-Zvi, Jiayi Lou, Genevieve S. Walsh
The aim of these notes is to connect the theory of hyperbolic and relatively hyperbolic groups to the theory of manifolds and Kleinian groups. We also give definitions and many exa…
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…
Incoherence of free-by-free and surface-by-free groups
Robert Kropholler, Stefano Vidussi, Genevieve Walsh
Let be the semidirect product where is either the free group , or the fundamental group of a closed surface of genus . We prove tha…
Incoherence and fibering of many free-by-free groups
Robert Kropholler, Genevieve Walsh
We show that free-by-free groups satisfying a homological criterion, which we call excessive homology, are incoherent. This class is large in nature, including many examples of hyp…
Some groups with planar boundaries
Sang-hyun Kim, Genevieve S. Walsh
In this expository note, we illustrate phenomena and conjectures about boundaries of hyperbolic groups by considering the special cases of certain amalgams of hyperbolic groups. Wh…
Right-angled Coxeter groups with non-planar boundary
Pallavi Dani, Matthew Haulmark, Genevieve Walsh
We investigate the planarity of the boundaries of right-angled Coxeter groups. We show that non-planarity of the defining graph does not necessarily imply non-planarity of every bo…