The first $L^p$-cohomology of some groups with one end
| dc.creator | Puls, Michael J. | |
| dc.date | 2005-09-07 | |
| dc.date | 2006-12-30 | |
| dc.date.accessioned | 2026-07-07T07:37:33Z | |
| dc.date.available | 2026-07-07T07:37:33Z | |
| dc.description | Let $p$ be a real number greater than one. In this paper we study the vanishing and nonvanishing of the first $L^p$-cohomology space of some groups that have one end. We also make a connection between the first $L^p$-cohomology space and the Floyd boundary of the Cayley graph of a group. We apply the result about Floyd boundaries to show that there exists a real number $p$ such that the first $L^p$-cohomology space of a nonelementary hyperbolic group does not vanish. | |
| dc.identifier | https://arxiv.org/abs/math/0509171 | |
| dc.identifier | http://arxiv.org/abs/math/0509171 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120814 | |
| dc.subject | Functional Analysis | |
| dc.subject | Group Theory | |
| dc.subject | 43A15 | |
| dc.title | The first $L^p$-cohomology of some groups with one end | |
| dc.type | text |