SURVEY ARTICLE

Character codegrees in finite groups

  • Guohua QIAN
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  • School of Mathematics and Statistics, Changshu Institute of Technology, Changshu 215500, China

Copyright

2023 Higher Education Press 2023

Abstract

For an irreducible character χ of a finite group G, we define its codegree as cod(χ)=|G:kerχ|χ(1). In this paper, we introduce some known results and unsolved problems about character codegrees in finite groups.

Cite this article

Guohua QIAN . Character codegrees in finite groups[J]. Frontiers of Mathematics in China, 2023 , 18(1) : 15 -32 . DOI: 10.3868/S140-DDD-023-006-X

Acknowledgements

I would like to express my gratitude to my colleagues for their valuable suggestions, especially to Professor Qinhai Zhang for his repeated encouragement. I am also grateful for the financial support provided by the National Natural Science Foundation of China (Grant No. 12171058).
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