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K- theory and finite loop spaces of rank one

Published online by Cambridge University Press:  24 October 2008

C. A. McGibbon
C. A. McGibbon
Affiliation:
Wayne State University, Detroit, MI 48202, U.S.A.
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Extract

Let p be a prime and let d be a positive integer which divides p−1. Assume that X is a space such that

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 99 , Issue 3 , May 1986 , pp. 481 - 487
Copyright
Copyright © Cambridge Philosophical Society 1986

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References

REFERENCES

[1]Adams, J. F.. On Chern characters and the structure of the unitary group. Proc. Cambridge Philos. Soc. 57 (1961), 189–199.Google Scholar
[2]Adams, J. F.. Lectures on generalized cohomology. In Category Theory, Homology Theory and their Applications III. Lecture Notes in Math., no. 99 (Springer-Verlag, 1969), 1–138.Google Scholar
[3]Adams, J. F. and Wilkerson, C. W.. Finite H-spaces and algebras over the Steenrod algebra. Annals of Math. 111 (1980), 95–143.Google Scholar
[4]Atiyah, M. F.. Power operations in K-theory. Quart. J. Math. Oxford (2) 17 (1966), 165–193.Google Scholar
[5]Holzsager, R.. H-spaces of category & 2. Topology 9 (1970), 211–216.Google Scholar
[6]McGibbon, C. A.. Stable properties of rank 1 loop structures. Topology 20 (1981), 109–118.Google Scholar
[7]McGibbon, C. A.. Spaces that look like quaternionic projective n-space. Trans. Amer. Math. Soc. 272 (1982), 569–587.Google Scholar
[8]Sullivan, D.. Geometric Topology: part I, Localization, Periodicity and Galois Symmetry. (MIT Notes, Cambridge, 1970.)Google Scholar
[9]Stasheff, J.. H-spaces from a Homotopy Point of View. Lecture Notes in Math., no. 161 (Springer-Verlag, 1970).CrossRefGoogle Scholar