%0 Journal Article %T The integral cohomology of the group of loops %A Craig A Jensen %A Jon McCammond %A John Meier %J Mathematics %D 2009 %I arXiv %R 10.2140/gt.2006.10.759 %X Let PSigma_n denote the group that can be thought of either as the group of motions of the trivial n-component link or the group of symmetric automorphisms of a free group of rank n. The integral cohomology ring of PSigma_n is determined, establishing a conjecture of Brownstein and Lee. %U http://arxiv.org/abs/0903.0140v1