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Relatively Hyperbolic Groups with Fixed Peripherals by Cordes, Matthew; Hume, David is a scholarly article available to read on EtoBox.

What is Relatively Hyperbolic Groups with Fixed Peripherals about?

We build quasi--isometry invariants of relatively hyperbolic groups which detect the hyperbolic parts of the group; these are variations of the stable dimension constructions previously introduced by the authors. We prove that, given any finite collection of finitely generated groups $\mathcal{H}$ each of which either has finite stable dimension or is non-relatively hyperbolic, there exist infinitely many quasi--isometry types of one--ended groups which are hyperbolic relative to $\mathcal{H}$. The groups are constructed using small cancellation theory over free products.

Author

Cordes, Matthew; Hume, David

Published

2016

Language

EN