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Note on desuspending the Adams map

Published online by Cambridge University Press:  24 October 2008

F. R. Cohen  and
J. A. Neisendorfer
F. R. Cohen
Affiliation:
University of Kentuckyand Ohio State University
J. A. Neisendorfer
Affiliation:
University of Kentuckyand Ohio State University
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Extract

Let p denote a fixed prime and let Pn(pr) denote the cofibre of the degree pr map on Sn–1. We consider π*P3(pr) and show that the map q in the cofibre sequence

induces a split epimorphism on the p-primary component of π2pS3 if p > 2. That analogous maps q: Pn(pr) →Sn, n ≥ 4, induce split epimorphisms on the p-primary component of πn+2p-3Sn, p > 2, is shown in work of J. F. Adams [1]. It is the purpose of this note to document the above computation in the case n = 3 for the use of others.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 99 , Issue 1 , January 1986 , pp. 59 - 64
Copyright
Copyright © Cambridge Philosophical Society 1986

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References

REFERENCES

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