On a family involving R. L. Cohen's \(\zeta\)-element
Let \(\zeta_n\) be the element in the \((p^{n+1}+1)q-3\) stem of the stable homotopy groups of spheres at a prime \(p>2\) given by Cohen. For the beta element \(\beta_s\) in the \((sp+s-1)q-2\) stem, the authors show the nontriviality of the product \(\zeta_{n-1}\beta_1\beta_{s+2}\) for \(p\geq 5\), \(n>3\), and \(0\leq s<p-4\). The proof is based on standard computation of the May spectral sequence for the Adams \(E_2\)-term.
scientific article; zbMATH DE number 6137389