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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The cohomology of the Morava stabilizer group ${\mathbb S}_2$ at the prime 3
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by Vassily Gorbounov, Stephen F. Siegel and Peter Symonds PDF
Proc. Amer. Math. Soc. 126 (1998), 933-941 Request permission

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
  • 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 1998 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 126 (1998), 933-941
  • MSC (1991): Primary 55N20; Secondary 55N22, 20J06
  • DOI: https://doi.org/10.1090/S0002-9939-98-04113-6
  • MathSciNet review: 1422870