A beta family in the homotopy of spheres

Author:

Shimomura Katsumi

Abstract

Let p p be a prime number greater than three. In the p p -component of stable homotopy groups of spheres, Oka constructed a beta family from a v 2 v_2 -periodic map on a four cell complex. In this paper, we construct another beta family in the groups at a prime p p greater than five from a v 2 v_2 -periodic map on an eight cell complex.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference12 articles.

1. Periodic phenomena in the Adams-Novikov spectral sequence;Miller, Haynes R.;Ann. of Math. (2),1977

2. A new family in the stable homotopy groups of spheres;Oka, Shichirô;Hiroshima Math. J.,1975

3. A new family in the stable homotopy groups of spheres. II;Oka, Shichirô;Hiroshima Math. J.,1976

4. Realizing some cyclic 𝐵𝑃_{∗}-modules and applications to stable homotopy of spheres;Oka, Shichirô;Hiroshima Math. J.,1977

5. Ring spectra with few cells;Oka, Shichirô;Japan. J. Math. (N.S.),1979

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