ON THE TAKETA BOUND FOR NORMALLY MONOMIAL p-GROUPS OF MAXIMAL CLASS II

Abstract

We discuss the relationship between the derived length and the number of character degrees in the restricted setting of a normally monomial p-group, G, of maximal class. We continue the Lie algebra approach implemented by Keller, Ragan, and Tims. With a number of technical results, we improve the existing bound, [Formula: see text], to obtain, [Formula: see text].