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November 2019 A note on the products $\alpha_1\beta_2\gamma_t$ and $\beta_1^{r+1}\beta_2\gamma_t$ in the stable homotopy of spheres
Hiroki Okajima, Katsumi Shimomura
Hiroshima Math. J. 49(3): 303-321 (November 2019). DOI: 10.32917/hmj/1573787034

Abstract

In the stable homotopy groups of spheres, we have Greek letter elements due to J. F. Adams [2], L. Smith [12] and H. Toda [13]. Here we study the nontriviality of certain products of the first alpha element, the first and the second beta elements and a gamma element in the homotopy groups.

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Hiroki Okajima. Katsumi Shimomura. "A note on the products $\alpha_1\beta_2\gamma_t$ and $\beta_1^{r+1}\beta_2\gamma_t$ in the stable homotopy of spheres." Hiroshima Math. J. 49 (3) 303 - 321, November 2019. https://doi.org/10.32917/hmj/1573787034

Information

Received: 12 June 2017; Revised: 12 August 2019; Published: November 2019
First available in Project Euclid: 15 November 2019

zbMATH: 07180033
MathSciNet: MR4031736
Digital Object Identifier: 10.32917/hmj/1573787034

Subjects:
Primary: 55Q45
Secondary: 55Q51, 55T15

Rights: Copyright © 2019 Hiroshima University, Mathematics Program

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Vol.49 • No. 3 • November 2019
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