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math.GR2024
On the boundary criterion for relative cubulation: multi-ended parabolics
Eduard Einstein, Suraj Krishna MS, Thomas Ng
In this note, we clarify that the boundary criterion for relative cubulation of the first author and Groves works even when the peripheral subgroups are not one-ended. Specifically…
math.GR2021
Separation and Relative Quasi-convexity Criteria for Relatively Geometric Actions
Eduard Einstein, Daniel Groves, Thomas Ng
Bowditch characterized relative hyperbolicity in terms of group actions on fine hyperbolic graphs with finitely many edge orbits and finite edge stabilizers. In this paper, we defi…
math.GR2019
Relative cubulations and groups with a 2-sphere boundary
Eduard Einstein, Daniel Groves
We introduce a new kind of action of a relatively hyperbolic group on a CAT(0) cube complex, called a relatively geometric action. We provide an application to characterize finite-…