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On a Theorem of Ossa

Authors: David Copeland Johnson and W. Stephen Wilson
Journal: Proc. Amer. Math. Soc. 125 (1997), 3753-3755
MSC (1991): Primary 55P10, 55N20; Secondary 55N15, 55S10
MathSciNet review: 1415328
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Abstract: If $V$ is an elementary abelian $2$-group, Ossa proved that the connective $K$-theory of $BV$ splits into copies of $\mathbf{ Z}/2$ and of the connective $K$-theory of the infinite real projective space. We give a brief proof of Ossa's theorem.

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

  • 1. D. C. Johnson and W. S. Wilson, The Brown-Peterson homology of elementary $p$-groups, Amer. J. Math. 107 (1985), 427-454. MR 86j:55008
  • 2. D. C. Johnson, W. S. Wilson, and D. Y. Yan, Brown-Peterson homology of elementary $p$-groups II, Topology and its Applications 59 (1994) 117-136. MR 95j:55008
  • 3. A. Liulevicius, The cohomology of Massey-Peterson algebras, Math. Zeitschr. 105 (1968) 226-256. MR 38:1680
  • 4. E. Ossa, Connective $K$-theory of elementary abelian groups, Transformation Groups, Osaka 1987, K. Kawakubo (ed.), Springer Lecture Notes in Mathematics 1375 (1989) 269-275. MR 90h:55009

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Additional Information

David Copeland Johnson
Affiliation: Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506

W. Stephen Wilson
Affiliation: Department of Mathematics, Johns Hopkins University, Baltimore, Maryland 21218

Keywords: $K$-theory, real projective space, elementary abelian group
Received by editor(s): January 11, 1996
Received by editor(s) in revised form: July 19, 1996
Communicated by: Thomas Goodwillie
Article copyright: © Copyright 1997 American Mathematical Society

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