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International Conference on Non-Positive Curvature in Group Theory, Topology, and Geometry
May 28-31, 1998
Vanderbilt University
Nashville, TN, USA

Organizers
B. Hughes, M. Mihalik, E. Prassidis, J. Ratcliffe, K. Ruane, M. Sapir, E. Schechter

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Hyperbolic groups with 1-dimensional boundary, and 3-dimensional Poincare duality groups
by
Bruce Kleiner
University of Utah
Coauthors: Mikhael Kapovich

We study hyperbolic groups with 1-dimensional boundary.

We show that the boundary of a torsion free hyperbolic group with 1-dimensional boundary is either a a Menger curve or a Sierpinski carpet, unless the group splits over a cyclic group. We then examine the Sierpinski carpet case in more detail.

Date received: May 4, 1998

Copyright © 1998 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cabb-41.