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Codimension One Subgroups and Boundaries of Hyperbolic Groups by Delzant, Thomas; Papasoglu, Panos is a scholarly article available to read on EtoBox.

What is Codimension One Subgroups and Boundaries of Hyperbolic Groups about?

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.

Author

Delzant, Thomas; Papasoglu, Panos

Published

2008

Language

EN