Finite p-groups with three character codegrees

Abstract

For an irreducible character χ of a finite group G, the codegree of χ is defined as $|G:\mathrm{\text{ker}}(\chi )|/\chi (1)$. In this paper, we characterize finite p-groups with three character codegrees.

Keywords:

• Codegree
• finite p-groups
• irreducible character

2020 Mathematics Subject Classification:

• 20D15
• 20C15

Acknowledgments

The authors would like to thank the reviewers for their valuable suggestions and comments on this paper.

Additional information

Funding

This work was supported by NSFC (Nos. 12371022,12271318).