The geometry of generalized loxodromic elements

Author: 

Abbott, C
Hume, D

Journal: 

Annales de l'Institut Fourier

Last Updated: 

2019-07-31T22:04:45.88+01:00

abstract: 

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 Sisto's result that every generalized loxodromic
element is Morse. We provide a sufficient geometric condition for an element of
a small cancellation group to be generalized loxodromic in terms of the
defining relations and provide a number of constructions which prove that this
condition is sharp.

Symplectic id: 

976315

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Submitted to ORA: 

Submitted

Publication Type: 

Journal Article