Ends of Schreier graphs of hyperbolic groups

Audrey Vonseel

doi:10.2140/agt.2018.18.3089

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Home > Journals > Algebr. Geom. Topol. > Volume 18 > Issue 5 > Article

2018 Ends of Schreier graphs of hyperbolic groups

Audrey Vonseel

Algebr. Geom. Topol. 18(5): 3089-3118 (2018). DOI: 10.2140/agt.2018.18.3089

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Abstract

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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Audrey Vonseel. "Ends of Schreier graphs of hyperbolic groups." Algebr. Geom. Topol. 18 (5) 3089 - 3118, 2018. https://doi.org/10.2140/agt.2018.18.3089