Galois cohomology of completed link groups
| dc.creator | Blomer, Inga | |
| dc.creator | Linnell, Peter | |
| dc.creator | Schick, Thomas | |
| dc.date | 2007-08-28 | |
| dc.date | 2007-10-24 | |
| dc.date.accessioned | 2026-07-07T12:09:36Z | |
| dc.date.available | 2026-07-07T12:09:36Z | |
| dc.description | In this paper we compute the Galois cohomology of the pro-p completion of primitive link groups. Here, a primitive link group is the fundamental group of a tame link in the 3-sphere whose linking number diagram is irreducible modulo p (e.g. none of the linking numbers is divisible by p). The result is that (with Z/pZ-coefficients) the Galois cohomology is naturally isomorphic to the Z/pZ-cohomology of the discrete link group. The main application of this result is that for such groups the Baum-Connes conjecture or the Atiyah conjecture are true for every finite extension (or even every elementary amenable extension), if they are true for the group itself. | |
| dc.description | 11 pages, AMS-LaTeX 2e, v2 to appear in Proc.Amer.Math.Soc., minor corrections | |
| dc.identifier | https://arxiv.org/abs/0708.3727 | |
| dc.identifier | http://arxiv.org/abs/0708.3727 | |
| dc.identifier | Proc. Amer. Math. Soc. 136 (2008), no. 10, 3449--3459. | |
| dc.identifier | doi:10.1090/S0002-9939-08-09395-7 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/209679 | |
| dc.subject | Group Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 20E18, 20J06, 57M25 | |
| dc.title | Galois cohomology of completed link groups | |
| dc.type | text |