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The cohomology of the Morava stabilizer group at the prime 3
Authors:Vassily Gorbounov   Stephen F. Siegel   Peter Symonds
Affiliation:Department of Mathematics, Northwestern University, Evanston, Illinois 60208-2730 ; Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515 ; Department of Mathematics, UMIST, P.O. Box 88, Manchester M60 1QD, England
Abstract:We compute the cohomology of the Morava stabilizer group $mathbb{S}_2 $ at the prime $3$ by resolving it by a free product $mathbb{Z}/3*mathbb{Z}/3$ and analyzing the ``relation module.'

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