- Abstract:
- We prove that for all p > 1, every relatively hyperbolic group has ` p compression exponent equal to the minimum of the exponents of its maximal peripheral subgroups. This improves results of Dadarlat–Guentner and Dreesen. As a first step we give a direct geometric proof that hyperbolic groups have ` p compression exponent 1, independent of those given by Bonk–Schramm, Buyalo–Dranishnikov–Schroeder, Gal and Tessera.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
- Version:
- Publisher's Version
- Files:
-
-
(pdf, 392.8kb)
-
- Publisher copy:
- 10.1515/crelle-2013-0040
-
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- Publisher:
- De Gruyter Publisher's website
- Journal:
- Journal für die reine und angewandte Mathematik (Crelles Journal) Journal website
- Volume:
- 2015
- Issue:
- 703
- Pages:
- 147-172
- Publication date:
- 2015
- DOI:
- EISSN:
-
1435-5345
- ISSN:
-
0075-4102
- Pubs id:
-
pubs:672217
- URN:
-
uri:073ccf1c-6325-40d9-a723-bf3a4e545a1e
- UUID:
-
uuid:073ccf1c-6325-40d9-a723-bf3a4e545a1e
- Local pid:
- pubs:672217
- Keywords:
- Copyright holder:
- De Gruyter
- Copyright date:
- 2015
- Notes:
- © De Gruyter 2015
Journal article
Direct embeddings of relatively hyperbolic groups with optimal ℓp compression exponent
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