Journal of Guangxi Normal University(Natural Science Edition) ›› 2022, Vol. 40 ›› Issue (5): 160-167.doi: 10.16088/j.issn.1001-6600.2022020703

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Codegrees of Irreducible Characters in Finite Groups

LU Jiakuan*, WANG Yu, ZHANG Boru, PANG Linna   

  1. School of Mathematics and Statistics, Guangxi Normal University, Guilin Guangxi 541006, China
  • Received:2022-02-07 Revised:2022-03-22 Online:2022-09-25 Published:2022-10-18

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Abstract: Let G be a finite group, and χ∈Irr(G). The number cod(χ)=|G∶ker χ|χ(1) is called the codegree of the character χ. This paper makes a review on the results concerning codegree of irreducible character in finite groups in particular, lists some problems which are still open.

Key words: irreducible character, codegree, solvable groups, p-length, Huppert’s conjecture

CLC Number: 

  • O152.1
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