On class sizes and primitive character degrees of p-solvable groups

Abstract

We improve a result of Isaacs et al. with respect to character degrees and class sizes of finite groups [1, Corollary D].

Keywords:

• Character degrees; conjugacy class sizes; primitive characters

MATHEMATICS SUBJECT CLASSIFICATION:

• 20C15, 20D20

Acknowledgment

The authors are grateful to the referee for valuable suggestions which greatly improved the manuscript.

Additional information

Funding

This work was partially supported by NSFC (Grant No. 11671063), and a grant from the Simons Foundation (No 499532).