Some notes on the adams spectral sequence

Abstract

In the beginning of 1980's Cohen, R. proved thath0b(1k)=B(1,k)=B(1,k)⊗ζ1 survives toE ∞ in the Adams spectral sequence. Later, Cohen, R. and Goerss, P. proved that is a permanent cycle. And they are represented by ζ k ,ηj respectively. Here the author proved: Theorem 2: Let 2≤s≤p−1,j≥3, then β s η j ≠0. Theorem 3: For 2≤s≤p−1,k≥2, β s ζ k ≠0 in the stable homotopy groups of spheres.