Bilipschitz versus quasi-isometric equivalence for higher rank lamplighter groups
SCIE
SCOPUS
- Title
- Bilipschitz versus quasi-isometric equivalence for higher rank lamplighter groups
- Authors
- Dymarz, T; Peng, I; Taback, J
- Date Issued
- 2015-01
- Publisher
- Electronic Journals Project
- Abstract
- We describe a family of finitely presented groups which are quasi-isometric but not bilipschitz equivalent. The first such examples were described by the first author (Duke Math. J., 2010) and are the lamplighter groups F integral Z where F is a finite group; these groups are finitely generated but not finitely presented. The examples presented in this paper are higher rank generalizations of these lamplighter groups and include groups that are of type F-n for any n.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/26791
- ISSN
- 1076-9803
- Article Type
- Article
- Citation
- New York Journal of Mathematics, vol. 21, page. 129 - 150, 2015-01
- Files in This Item:
- There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.