The non-amenability of Schreier graphs for infinite index quasiconvex subgroups of hyperbolic groups

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dc.creatorKapovich, Ilya
dc.date2002-01-10
dc.date2002-03-03
dc.date.accessioned2026-07-07T04:45:46Z
dc.date.available2026-07-07T04:45:46Z
dc.descriptionWe show that if $H$ is a quasiconvex subgroup of infinite index in a non-elementary hyperbolic group $G$ then the Schreier coset graph $X$ for $G$ relative to $H$ is non-amenable (that is, $X$ has positive Cheeger constant). We present some corollaries regading the Martin boundary and Martin compactification of $X$ and the co-growth of $H$ in $G$.
dc.descriptionupdated version
dc.identifierhttps://arxiv.org/abs/math/0201076
dc.identifierhttp://arxiv.org/abs/math/0201076
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63077
dc.subjectGroup Theory
dc.subjectPrimary: 20F67; Secondary: 05C,60B,60J
dc.titleThe non-amenability of Schreier graphs for infinite index quasiconvex subgroups of hyperbolic groups
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