The integral cohomology of the group of loops
classification
🧮 math.AT
math.GR
keywords
groupcohomologyintegralpsigmaautomorphismsbrownsteinconjecturedenote
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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.
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