On the failure of the co-hopf property for subgroups of word-hyperbolic groups |
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Authors: | Ilya Kapovich Daniel T Wise |
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Institution: | (1) Department of Mathematics, University of Illinois, 61801 Urbana, IL, USA;(2) Department of Mathematics, Cornell University, Malott Hall, 14853 Ithaca, NY, USA |
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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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