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On the failure of the co-hopf property for subgroups of word-hyperbolic groups

On the failure of the co-hopf property for subgroups of word-hyperbolic groups,10.1007/BF02809895,Israel Journal of Mathematics,Ilya Kapovich,Daniel T

On the failure of the co-hopf property for subgroups of word-hyperbolic groups   (Citations: 8)
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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.
Journal: Israel Journal of Mathematics - ISR J MATH , vol. 122, no. 1, pp. 125-147, 2001
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