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The cohomology of the Morava stabilizer group $\mathbb{S}_2$ at the prime 3

Author(s): Vassily Gorbounov; Stephen F. Siegel; Peter Symonds
Journal: Proc. Amer. Math. Soc. 126 (1998), 933-941.
MSC (1991): Primary 55N20; Secondary 55N22, 20J06
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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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Additional Information:

Vassily Gorbounov
Affiliation: Department of Mathematics, Northwestern University, Evanston, Illinois 60208-2730
Address at time of publication: Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506-0027
Email: vgorb@ms.uky.edu

Stephen F. Siegel
Affiliation: Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515
Email: siegel@math.umass.edu

Peter Symonds
Affiliation: Department of Mathematics, UMIST, P.O. Box 88, Manchester M60 1QD, England

DOI: 10.1090/S0002-9939-98-04113-6
PII: S 0002-9939(98)04113-6
Received by editor(s): September 10, 1996
Additional Notes: The research of the second author was supported by an NSF postdoctoral fellowship.
Communicated by: Thomas Goodwillie
Copyright of article: Copyright 1998, American Mathematical Society


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