Let $p$ be a prime with $p\geq 7$ and $q=2(p-1)$. In this paper we prove the existence of a nontrivial product of filtration $s+4$ in the stable homotopy groups of spheres. This nontrivial product is shown to be represented up to a nonzero scalar by the product element $\widetilde{\gamma}_{s}b_{n-1}g_{0}\in {Ext}_{\mathcal{A}}^{s+4,(p^n+sp^2+sp+s)q+s-3}(\mathbb{Z}/p,\mathbb{Z}/p)$ in the Adams spectral sequence where $n\geq 2$ and $3\leq s\leq p-1$.
Yu, H., Kou, Y., & Zhao, H. (2015). Detection of a nontrivial element in the stable homotopy groups of spheres. Bulletin of the Iranian Mathematical Society, 41(1), 65-85.
MLA
Yu, H., Kou, Y., & Zhao, H. "Detection of a nontrivial element in the stable homotopy groups of spheres", Bulletin of the Iranian Mathematical Society, 41, 1, 2015, 65-85.
HARVARD
Yu H., Kou Y., Zhao H. (2015). 'Detection of a nontrivial element in the stable homotopy groups of spheres', Bulletin of the Iranian Mathematical Society, 41(1), pp. 65-85.
CHICAGO
H. Yu, Y. Kou & H. Zhao, "Detection of a nontrivial element in the stable homotopy groups of spheres," Bulletin of the Iranian Mathematical Society, 41 1 (2015): 65-85,
VANCOUVER
Yu H., Kou Y., Zhao H. Detection of a nontrivial element in the stable homotopy groups of spheres. BIMS. 2015;41(1):65-85.
