Author/Authors :
YU, H School of Mathematical Sciences - South China Normal University, Guangzhou, P. R. China , KOU , Y School of Mathematical Sciences - South China Normal University, Guangzhou, P. R. China , ZHAO, H School of Mathematical Sciences - South China Normal University, Guangzhou, P. R. China
Abstract :
Let p be a prime with p≥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 γ~sbn−1g0∈ExtAs+4,(pn+sp2+sp+s)q+s−3(Z/p,Z/p)
in the Adams spectral sequence where n≥2 and 3≤s≤p−1.
