31 citations · 62 across the 20 of their papers we have counts for
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math.GR2018
Conjugator lengths in hierarchically hyperbolic groups
Carolyn Abbott, Jason Behrstock
In this paper, we establish upper bounds on the length of the shortest conjugator between pairs of infinite order elements in a wide class of groups. We obtain a general result whi…
math.GR2018
Actions of small cancellation groups on hyperbolic spaces
Carolyn Abbott, David Hume
We generalize Gruber--Sisto's construction of the coned--off graph of a small cancellation group to build a partially ordered set of cobounded actions of a given sma…
math.GR2018
The geometry of generalized loxodromic elements
Carolyn R. Abbott, David Hume
We explore geometric conditions which ensure a given element of a finitely generated group is, or fails to be, generalized loxodromic; as part of this we prove a generalization of…