31 citations · 62 across the 20 of their papers we have counts for
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math.GR2017★ 31 cited
Hyperbolic structures on groups
Carolyn Abbott, Sahana Balasubramanya, Denis Osin
For every group , we introduce the set of hyperbolic structures on , denoted , which consists of equivalence classes of (possibly infinite) generating sets of…
math.GR2017
Largest acylindrical actions and stability in hierarchically hyperbolic groups
Carolyn Abbott, Jason Behrstock, Daniel Berlyne +2
We consider two manifestations of non-positive curvature: acylindrical actions on hyperbolic spaces and quasigeodesic stability. We study these properties for the class of hierarch…
math.GR2017★ 3 cited
Extending group actions on metric spaces
C. Abbott, D. Hume, D. Osin
We address the following natural extension problem for group actions: Given a group , a subgroup , and an action of on a metric space, when is it possible to extend…