- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:04:58
Groups, Geometry, and Dynamics
Groups Geom. Dyn.
GGD
1661-7207
1661-7215
Group theory and generalizations
10.4171/GGD
http://www.ems-ph.org/doi/10.4171/GGD
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
4
2010
3
Codimension one subgroups and boundaries of hyperbolic groups
Thomas
Delzant
Université de Strasbourg, STRASBOURG CEDEX, FRANCE
Panos
Papasoglu
University of Athens, ATHENS, GREECE
Boundary, hyperbolic group, splittings
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 cannot be extended to splittings over more complicated subgroups.
Group theory and generalizations
General
533
548
10.4171/GGD/94
http://www.ems-ph.org/doi/10.4171/GGD/94