A NOTE ON THE NILPOTENCY CLASS OF THE UNIT GROUP OF A MODULAR GROUP ALGEBRA

Abstract

It is well known that a modular group algebra KG is Lie nilpotent if, and only if, its unit group U(KG) is nilpotent. In this note we prove that if G is a torsion group, then the equality cIl(KG) = c'(U(KG)) occurs.