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The Hopf Ring for P(n)

Published online by Cambridge University Press:  20 November 2018

Douglas C. Ravenel  and
W. Stephen Wilson
Douglas C. Ravenel
Affiliation:
University of Rochester Rochester, New York 14627 U.S.A. email: [email protected]
W. Stephen Wilson
Affiliation:
Johns Hopkins University Baltimore, Maryland 21218 U.S.A. email: email:[email protected]
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Abstract

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We show that , the E-homology of the Ω-spectrum for P(n), is an E* free Hopf ring for E a complex oriented theory with In sent to 0. This covers the cases and . The generators of the Hopf ring are those necessary for the stable result. The motivation for this paper is to show that P(n) satisfies all of the conditions for the machinery of unstable cohomology operations set up in [BJW95]. This can then be used to produce splittings analogous to those for BP done in [Wil75]

Keywords

55N2255N20
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 48 , Issue 5 , 01 October 1996 , pp. 1044 - 1063
Copyright
Copyright © Canadian Mathematical Society 1996

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