31 citations · 62 across the 20 of their papers we have counts for
5 papers · 1 filter
Largest hyperbolic actions and quasi-parabolic actions in groups
Carolyn R. Abbott, Alexander J. Rasmussen
The set of equivalence classes of cobounded actions of a group on different hyperbolic metric spaces carries a natural partial order. The resulting poset thus gives rise to a notio…
Random walks and quasi-convexity in acylindrically hyperbolic groups
C. Abbott, M. Hull
It is known that every infinite index quasi-convex subgroup of a non-elementary hyperbolic group is a free factor in a larger quasi-convex subgroup of . We give a probab…
Hierarchically hyperbolic groups and uniform exponential growth
Carolyn Abbott, Thomas Ng, Davide Spriano +2
We give several sufficient conditions for uniform exponential growth in the setting of virtually torsion-free hierarchically hyperbolic groups. For example, any hierarchically hype…
Boundaries of coned-off hyperbolic spaces
Carolyn R. Abbott, Jason F. Manning
Coning off a collection of uniformly quasiconvex subsets of a Gromov hyperbolic space leaves a new space, called the cone-off. Kapovich and Rafi generalized work of Bowditch to sho…
Actions of solvable Baumslag-Solitar groups on hyperbolic metric spaces
Carolyn R. Abbott, Alexander J. Rasmussen
We give a complete list of the cobounded actions of solvable Baumslag-Solitar groups on hyperbolic metric spaces up to a natural equivalence relation. The set of equivalence classe…