Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

On a Theorem of Ossa

Author(s): David Copeland Johnson; 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:

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2.: D. C. Johnson, W. S. Wilson, and D. Y. Yan, Brown-Peterson homology of elementary -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 -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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