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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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$BP$-homology of elementary abelian 2-groups: $BP$-module structure
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by Donald M. Davis PDF
Proc. Amer. Math. Soc. 147 (2019), 2255-2264 Request permission

Abstract:

We determine the $BP_*$-module structure, mod higher filtration, of the main part of the $BP$-homology of elementary abelian 2-groups. The action is related to symmetric polynomials and to Dickson invariants.
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Additional Information
  • Donald M. Davis
  • Affiliation: Department of Mathematics, Lehigh University, Bethlehem, Pennsylvania 18015
  • MR Author ID: 55085
  • Email: dmd1@lehigh.edu
  • Received by editor(s): December 4, 2017
  • Received by editor(s) in revised form: April 2, 2018, April 5, 2018, May 30, 2018, and June 25, 2018
  • Published electronically: January 28, 2019
  • Communicated by: Mark Behrens
  • © Copyright 2019 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 147 (2019), 2255-2264
  • MSC (2010): Primary 55N20, 05E05, 15A15, 13A50
  • DOI: https://doi.org/10.1090/proc/14304
  • MathSciNet review: 3937699