Detection of a nontrivial product in the stable homotopy groups of spheres (Q357724)

This is a computational paper on stable homotopy groups of spheres. The authors of this paper make use of the Adams spectral sequence and the May spectral sequence to show that there exists the \(\tilde{\beta}{}_sh{}_0h{}_m\)-element in the stable homotopy groups of spheres, where \(p\geq 5\), \(n>4\) and \(p+1<s<2p-1\). The method of proof is by explicit combinatorial analysis of the May spectral sequence.