44 citations · 90 across the 17 of their papers we have counts for
6 papers · 1 filter
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…
On groups with Bowditch boundary
Bena Tshishiku, Genevieve Walsh
We prove that a relatively hyperbolic pair has Bowditch boundary a 2-sphere if and only if it is a 3-dimensional Poincare duality pair. We prove this by studying the relati…
The automorphism group of the free group of rank two is a CAT(0) group
Adam Piggott, Kim Ruane, Genevieve S. Walsh
We prove that the automorphism group of the braid group on four strands acts faithfully and geometrically on a CAT(0) 2-complex. This implies that the automorphism group of the fre…