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On the failure of the co-hopf property for subgroups of word-hyperbolic groups
Authors:Ilya Kapovich  Daniel T Wise
Institution:(1) Department of Mathematics, University of Illinois, 61801 Urbana, IL, USA;(2) Department of Mathematics, Cornell University, Malott Hall, 14853 Ithaca, NY, USA
Abstract:We provide an example of a finitely generated subgroupH of a torsion-free word-hyperbolic groupG such thatH is one-ended, andH does not split over a cyclic group, andH is isomorphic to one of its proper subgroups. Supported as an NSF Postdoctoral Fellow under grant no. DMS-9627506.
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