Module derivations and the adjoint action of a finite loop space

Abstract

Recently, Iwase and K ono have considered a generalization of Theorem 1.1 for the case where G is a simply connected finite loop space a n d p = 2. Theorem 1.3 ([4]). L e t G b e a sim ply connected f inite loop space. A t the prim e 2 , the conditions (i), (ii) and (iii) in T heorem 1.1 are equivalent.