2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/221910Let 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.This is the version published by Geometry & Topology on 11 July 2006Algebraic TopologyGroup Theory20J06, 57M07text