2017 Volume 69 Issue 2 Pages 735-754
In this note we give applications of recent results coming mostly from the third paper of this series. It is shown that the number of irreducible characters in a p-block of a finite group with abelian defect group D is bounded by |D| (Brauer's k(B)-conjecture) provided D has no large elementary abelian direct summands. Moreover, we verify Brauer's k(B)-conjecture for all blocks with minimal non-abelian defect groups. This extends previous results by various authors.
This article cannot obtain the latest cited-by information.