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Ends of Schreier graphs of hyperbolic groups

Audrey Vonseel

Algebraic & Geometric Topology 18 (2018) 3089–3118

We study the number of ends of a Schreier graph of a hyperbolic group. Let G be a hyperbolic group and let H be a subgroup of G. In general, there is no algorithm to compute the number of ends of a Schreier graph of the pair (G,H). However, assuming that H is a quasiconvex subgroup of G, we construct an algorithm.

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relative ends, Schreier graphs, hyperbolic groups, Bestvina–Mess condition
Mathematical Subject Classification 2010
Primary: 20F65
Secondary: 20F10
Received: 14 February 2018
Revised: 11 June 2018
Accepted: 21 June 2018
Published: 22 August 2018
Audrey Vonseel
Institut de Recherche Mathématique Avancée
Université de Strasbourg, CNRS, UMR 7501