Codimension one subgroups and boundaries of hyperbolic groups

We 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 boun...

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Bibliográfalaš dieđut
Váldodahkkit: Delzant, T, Papasoglu, P
Materiálatiipa: Journal article
Giella:English
Almmustuhtton: 2008
Govvádus
Čoahkkáigeassu:We 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.