A NEW FAMILY OF ELEMENTS IN THE STABLE HOMOTOPY GROUPS OF SPHERES

In this paper, we study the non-triviality of the elements in the stable homotopy groups of spheres. Using the May spectral sequence, the authors show that there exists a new product in the E 2 -term of the Adams spectral sequence, which converges to a family of homotopy elements with order p and higher filtration in the stable homotopy groups of spheres.