2 papers
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…