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The non-existence of odd primary Arf invariant elements in stable homotopy

Published online by Cambridge University Press:  24 October 2008

Douglas C. Ravenel
Douglas C. Ravenel
Affiliation:
University of Washington, Seattle
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Extract

In this paper we will show that certain elements of order p (p an odd prime) on the 2-line of the Adams-Novikov spectral sequence support non-trivial differentials and therefore do not detect elements in the stable homotopy groups of spheres. These elements are analogous to the so-called Arf invariant elements of order 2, hence the title. However, it is evident that the methods presented here do not extend to the prime 2.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 83 , Issue 3 , May 1978 , pp. 429 - 443
Copyright
Copyright © Cambridge Philosophical Society 1978

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