Codimension one subgroups and boundaries of hyperbolic groups

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dc.creatorDelzant, Thomas
dc.creatorPapasoglu, Panos
dc.date2008-07-18
dc.date.accessioned2026-07-07T09:51:18Z
dc.date.available2026-07-07T09:51:18Z
dc.descriptionWe construct hyperbolic groups with the following properties: The boundary of the group has big dimension, it is separated by a Cantor set and the group does not split. This shows that Bowditch's theorem that characterizes splittings of hyperbolic groups over 2-ended groups in terms of the boundary can not be extended to splittings over more complicated subgroups.
dc.identifierhttps://arxiv.org/abs/0807.2932
dc.identifierhttp://arxiv.org/abs/0807.2932
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165239
dc.subjectGroup Theory
dc.titleCodimension one subgroups and boundaries of hyperbolic groups
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