%0 Journal Article
%T Galois cohomology of completed link groups
%A Inga Blomer
%A Peter Linnell
%A Thomas Schick
%J Mathematics
%D 2007
%I arXiv
%R 10.1090/S0002-9939-08-09395-7
%X 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.
%U http://arxiv.org/abs/0708.3727v2