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...

Full description

Bibliographic Details
Main Authors: Delzant, T, Papasoglu, P
Format: Journal article
Language:English
Published: 2008