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

Authors
Kapovich, I Wise, DT
Citation
I. Kapovich et Dt. Wise, On the failure of the co-Hopf property for subgroups of word-hyperbolic groups, ISR J MATH, 122, 2001, pp. 125-147
Citations number
19
Categorie Soggetti
Mathematics
Journal title
ISRAEL JOURNAL OF MATHEMATICS
ISSN journal
00212172 → ACNP
Volume
122
Year of publication
2001
Pages
125 - 147
Database
ISI
SICI code
0021-2172(2001)122:<125:OTFOTC>2.0.ZU;2-X
Abstract
We provide an example of a finitely generated subgroup H of a torsionfree w ord-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.