A beta family in the homotopy of spheres

Shimomura, Katsumi

doi:10.1090/S0002-9939-2014-12009-0

A beta family in the homotopy of spheres
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by Katsumi Shimomura

Proc. Amer. Math. Soc. 142 (2014), 2921-2928

DOI: https://doi.org/10.1090/S0002-9939-2014-12009-0

Published electronically: April 25, 2014

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Abstract:

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

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