Abstract. In this paper, study the module structure of
Ext0BP∗ BP (BP∗ , BP∗ /(p, v1∞ , v2∞ )),
which is regarded as the chromatic E1 -term converging to the
second line of the Adams-Novikov E2 -term for the Moore spectrum. The main difficulty here is to construct elements x(spr /j; k)
k
from the Miller-Ravenel-Wilson elements (xs3,r /v2j )p ∈ H 0 M21 . We
achieve this by developing some inductive methods of constructing
x(spr /j; k) on k.