Geodesic
On nontriviality of certain homotopy groups of spheres
Homology, homotopy, and applications, Tome 18 (2016) no. 2, pp. 337-344.

Voir la notice de l'article provenant de la source International Press of Boston

We provide an alternative proof of Gray’s result that, for an odd prime $p$, there is a non-trivial $\mathbb{Z} / p$-component in the homotopy group $\pi_{(2p-2)n+1}(S^3)$. As a corollary, it follows that, for $n \geq 2$, the homotopy groups $\pi_n(S^2)$ are non-zero.
DOI : 10.4310/HHA.2016.v18.n2.a18
Classification : 55Q40, 55T15
Keywords: homotopy group, Lambda algebra, Toda element 
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Sergei O. Ivanov; Roman Mikhailov; Jie Wu. On nontriviality of certain homotopy groups of spheres. Homology, homotopy, and applications, Tome 18 (2016) no. 2, pp. 337-344. doi : 10.4310/HHA.2016.v18.n2.a18. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2016.v18.n2.a18/

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