Journal article
Relatively hyperbolic groups with fixed peripherals
- Abstract:
- We build quasi-isometry invariants of relatively hyperbolic groups which detect the hyperbolic parts of the group; these are variations of the stable dimension constructions previously introduced by the authors. We prove that, given any finite collection of finitely generated groups H each of which either has finite stable dimension or is non-relatively hyperbolic, there exist infinitely many quasi-isometry types of one-ended groups which are hyperbolic relative to H. The groups are constructed using classical small cancellation theory over free products.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Access Document
- Files:
-
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(Preview, Accepted manuscript, pdf, 388.5KB, Terms of use)
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- Publisher copy:
- 10.1007/s11856-019-1830-5
Authors
+ National Science Foundation
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- Funding agency for:
- Cordes, M
- Grant:
- DMS-1106726
+ Agence Nationale de la Recherche
More from this funder
- Funding agency for:
- Hume, DS
- Grant:
- ANR-14-CE25-0004
+ Zuckerman STEM Postdoctoral Fellowship
More from this funder
- Funding agency for:
- Cordes, M
- Grant:
- DMS-1106726
- Publisher:
- Springer
- Journal:
- Israel Journal of Mathematics More from this journal
- Volume:
- 230
- Issue:
- 1
- Pages:
- 443–470
- Publication date:
- 2019-04-17
- Acceptance date:
- 2018-06-13
- DOI:
- EISSN:
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1565-8511
- ISSN:
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0021-2172
- Language:
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English
- Pubs id:
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pubs:857055
- UUID:
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uuid:f34200b2-aa8c-4cb6-b811-4b9b78f0896d
- Local pid:
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pubs:857055
- Source identifiers:
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857055
- Deposit date:
-
2018-06-13
Terms of use
- Copyright holder:
- Hebrew University of Jerusalem
- Copyright date:
- 2019
- Rights statement:
- © Hebrew University of Jerusalem 2019.
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from Springer at: https://doi.org/10.1007/s11856-019-1830-5
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