Nilpotence for modules over the mod 2 Steenrod algebra II. John H. Palmieri. Abstract. We imitate much of the work of Hopkins and Smith in [7], in the context of modules over the mod 2 Steenrod algebra A.Our main result is an analog of the periodicity theorem of [7], implying, for example, the existence of infinitely many non-nilpotent elements in Ext_A(F2; F2).