On the L^p-distorsion of finite quotients of amenable groups
| dc.creator | Tessera, Romain | |
| dc.date | 2007-06-27 | |
| dc.date | 2007-10-30 | |
| dc.date.accessioned | 2026-07-07T08:38:59Z | |
| dc.date.available | 2026-07-07T08:38:59Z | |
| dc.description | We study the L^p-distortion of finite quotients of amenable groups. In particular, for every number p larger or equal than 2, we prove that the l^p-distortion of the finite lamplighter group grows like (\log n)^{1/p}. We also give the asymptotic behavior of the l^p-distortion of finite quotients of certain metabelian polycyclic groups and of the solvable Baumslag-Solitar groups BS(m,1). The proofs are short and elementary. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/0706.3971 | |
| dc.identifier | http://arxiv.org/abs/0706.3971 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/140930 | |
| dc.subject | Metric Geometry | |
| dc.subject | 51F99; 43A85 | |
| dc.title | On the L^p-distorsion of finite quotients of amenable groups | |
| dc.type | text |