Open Access
Spring 2016 Boundaries of Kleinian groups
Peter Haïssinsky, Luisa Paoluzzi, Genevieve Walsh
Illinois J. Math. 60(1): 353-364 (Spring 2016). DOI: 10.1215/ijm/1498032035

Abstract

We review the theory of splittings of hyperbolic groups, as determined by the topology of the boundary. We give explicit examples of certain phenomena and then use this to describe limit sets of Kleinian groups up to homeomorphism.

Citation

Download Citation

Peter Haïssinsky. Luisa Paoluzzi. Genevieve Walsh. "Boundaries of Kleinian groups." Illinois J. Math. 60 (1) 353 - 364, Spring 2016. https://doi.org/10.1215/ijm/1498032035

Information

Received: 10 June 2016; Revised: 1 September 2016; Published: Spring 2016
First available in Project Euclid: 21 June 2017

zbMATH: 06734374
MathSciNet: MR3665183
Digital Object Identifier: 10.1215/ijm/1498032035

Subjects:
Primary: 20F67 , 30F40
Secondary: 57N16

Rights: Copyright © 2016 University of Illinois at Urbana-Champaign

Vol.60 • No. 1 • Spring 2016
Back to Top