$BP$-homology of elementary abelian 2-groups: $BP$-module structure
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- by Donald M. Davis PDF
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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.References
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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