Journal article
Hyperbolic groups that are not commensurably co-hopfian
- Abstract:
- Sela proved that every torsion-free one-ended hyperbolic group is co-Hopfian. We prove that there exist torsion-free one-ended hyperbolic groups that are not commensurably co-Hopfian. In particular, we show that the fundamental group of every simple surface amalgam is not commensurably co-Hopfian.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Accepted manuscript, 352.1KB, Terms of use)
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- Publisher copy:
- 10.1093/imrn/rnaa033
Authors
- Publisher:
- Oxford University Press
- Journal:
- International Mathematics Research Notices More from this journal
- Volume:
- 2021
- Issue:
- 1
- Pages:
- 579–595
- Publication date:
- 2020-04-15
- Acceptance date:
- 2020-01-30
- DOI:
- EISSN:
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1687-0247
- ISSN:
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1073-7928
- Language:
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English
- Keywords:
- Pubs id:
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1140460
- Local pid:
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pubs:1140460
- Deposit date:
-
2020-11-05
Terms of use
- Copyright holder:
- Stark and Woodhouse.
- Copyright date:
- 2020
- Rights statement:
- © The Author(s) 2020. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: [email protected].
- Notes:
- This is the accepted manuscript version of the article. The final version is available from Oxford University Press at: https://doi.org/10.1093/imrn/rnaa033
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