2 papers
math.GT2023
Largest hyperbolic actions of 3--manifold groups
Carolyn Abbott, Hoang Thanh Nguyen, Alexander J. Rasmussen
The set of equivalence classes of cobounded actions of a group G on different hyperbolic metric spaces carries a natural partial order. Following Abbott--Balasubramanya--Osin, the…
math.GR2022
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…