8 citations · 9 across the 8 of their papers we have counts for
5 papers · 1 filter
Valuations, completions, and hyperbolic actions of metabelian groups
Carolyn R. Abbott, Sahana Balasubramanya, Sam Payne +1
Actions on hyperbolic metric spaces are an important tool for studying groups, and so it is natural, but difficult, to attempt to classify all such actions of a fixed group. In thi…
Higher rank confining subsets and hyperbolic actions of solvable groups
Carolyn R. Abbott, Sahana Balasubramanya, Alexander J. Rasmussen
Recent papers of the authors have completely described the hyperbolic actions of several families of classically studied solvable groups. A key tool for these investigations is the…
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…
WWPD elements of big mapping class groups
Alexander J. Rasmussen
We study mapping class groups of infinite type surfaces with isolated punctures and their actions on the loop graphs introduced by Bavard-Walker. We classify all of the mapping cla…
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…