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

Ilya Kapovich; Daniel T. Wise

doi:10.1007/BF02809895

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

Ilya Kapovich, Daniel T. Wise

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We provide an example of a finitely generated subgroup H of a torsion-free word-hyperbolic group G such that H is one-ended, and H does not split over a cyclic group, and H is isomorphic to one of its proper subgroups.

Original language	English (US)
Pages (from-to)	125-147
Number of pages	23
Journal	Israel Journal of Mathematics
Volume	122
DOIs	https://doi.org/10.1007/BF02809895
State	Published - Jan 1 2001

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Mathematics(all)

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

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