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Abstract: In this paper we compute the Galois cohomology of the pro-p completion ofprimitive link groups. Here, a primitive link group is the fundamental group ofa tame link in the 3-sphere whose linking number diagram is irreducible modulop e.g. none of the linking numbers is divisible by p.The result is that with Z-pZ-coefficients the Galois cohomology isnaturally isomorphic to the Z-pZ-cohomology of the discrete link group.The main application of this result is that for such groups the Baum-Connesconjecture or the Atiyah conjecture are true for every finite extension oreven every elementary amenable extension, if they are true for the groupitself.

Autor: Inga Blomer Georg-August-Universitaet Goettingen, Peter Linnell Virginia Tech, Thomas Schick Georg-August-Universitaet Goettingen


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