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

Ilya Kapovich, Daniel T. Wise

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Pages (from-to)125-147
Number of pages23
JournalIsrael Journal of Mathematics
Volume122
DOIs
StatePublished - Jan 1 2001

ASJC Scopus subject areas

  • Mathematics(all)

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