Existence of the Greek Letter Elements in the Stable Homotopy Groups of <i>E</i>(<i>n</i>)_*-Localized Spheres

Abstract

Let _E_2*.*(X) denote the _E_2-term of the Adams-Novikov spectral sequence converging to the homotopy groups of X. We can define the Greek letter elements in _E_2*.*(_Ln_S0) in the same way as those in _E_2*.*(_S_0). We show that these of _E_2*.*(_Ln_S0) are permanent cycles, though we know little for _E_2*.*(_S_0).