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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.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…