3 papers
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 $(…
math.GR2025
Relative cubulation of relative strict hyperbolization
Daniel Groves, Jean-François Lafont, Jason Fox Manning +1
We prove that many relatively hyperbolic groups obtained by relative strict hyperbolization admit a cocompact action on a CAT(0) cubical complex. Under suitable assumptions on the…