3 papers
math.GT2026
On groups with Schottky set boundary
Peter Haïssinsky, Luisa Paoluzzi, Genevieve Walsh
We study relatively hyperbolic group pairs whose boundaries are Schottky sets. We characterize the groups that have boundaries where the Schottky sets have incidence graphs with 1…
math.GR2026
Hyperbolic spaces with geometric and geometrically finite quasi-actions are symmetric
Daniel Groves, Emily Stark, Genevieve S. Walsh +1
We prove that if a proper metric space is quasi-isometric to a finitely generated group and to a space with a horoball over a finitely generated group, then that space is quasi-iso…
math.GT2026
Drilling hyperbolic groups
Daniel Groves, Peter Haïssinsky, Jason F. Manning +3
Given a hyperbolic group and a maximal infinite cyclic subgroup , we define a {\it drilling of along }, which is a relatively hyperbolic group pair $(…