Blocks of full defect with nonabelian metacyclic defect groups

Abstract

Let p be an odd prime and let B be a p-block of a finite group G with a nonabelian metacyclic defect group P which is a Sylow p-subgroup of G. The purpose of this article is to study the ordinary and modular irreducible characters in B. In particular, we calculate ki(B) and li(B) for an arbitrary nonnegative integer i.