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Ossa's theorem and Adams covers


Author: Robert R. Bruner
Journal: Proc. Amer. Math. Soc. 127 (1999), 2443-2447
MSC (1991): Primary 55P10, 55N20; Secondary 55N15, 55S10
DOI: https://doi.org/10.1090/S0002-9939-99-05232-6
Published electronically: March 16, 1999
MathSciNet review: 1653421
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Abstract | References | Similar Articles | Additional Information

Abstract: We show that Ossa's theorem splitting $ku \wedge BV$ for elementary abelian groups $V$ follows from general facts about $ku \wedge BZ/2$ and Adams covers. For completeness, we also provide the analogous results for $ko \wedge BV$.


References [Enhancements On Off] (What's this?)

  • 1. David Copeland Johnson and W. Stephen Wilson, ``On a Theorem of Ossa'' Proc. Amer. Math. Soc. 125 (1997), 3753-3755. MR 98b:55003
  • 2. W. H. Lin, D. Davis, M. E. Mahowald and J. F. Adams, ``Calculation of Lin's Ext Groups'', Math. Proc. Camb. Phil, Soc. 87 (1980), 459-469. MR 81e:55025
  • 3. H. R. Margolis, ``Eilenberg-MacLane Spectra'', Proc. Amer. Math. Soc. 43 (1974), 409-415. 1973.MR 49:6239
  • 4. Eric Ossa, ``Connective K Theory of Elementary Abelian Groups'', Proceedings of the 1987 Osaka Conference on Transformation groups, Springer Lecture Notes in Mathematics, V. 1375, 269-275. MR 90h:55009

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Additional Information

Robert R. Bruner
Affiliation: Department of Mathematics, Wayne State University, Detroit, Michigan 48202
Email: rrb@math.wayne.edu

DOI: https://doi.org/10.1090/S0002-9939-99-05232-6
Received by editor(s): October 22, 1997
Published electronically: March 16, 1999
Communicated by: Ralph Cohen
Article copyright: © Copyright 1999 American Mathematical Society

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