-DIVISIBILITY OF CO-DEGREES OF IRREDUCIBLE CHARACTERS

Author:

BAHRAMIAN ROYAORCID,AHANJIDEH NEDAORCID

Abstract

For a character $\unicode[STIX]{x1D712}$ of a finite group $G$, the co-degree of $\unicode[STIX]{x1D712}$ is $\unicode[STIX]{x1D712}^{c}(1)=[G:\text{ker}\unicode[STIX]{x1D712}]/\unicode[STIX]{x1D712}(1)$. We study finite groups whose co-degrees of nonprincipal (complex) irreducible characters are divisible by a given prime $p$.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 11 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Finite groups with gcd(χ(1), χc (1)) a prime;Open Mathematics;2024-01-01

2. The character co-degree sets and solvability;Journal of Algebra and Its Applications;2023-02-27

3. Equivalent version of Huppert’s conjecture for codegrees of K3-groups;Quaestiones Mathematicae;2023-02-01

4. On the average codegree of a finite group;Journal of Algebra and Its Applications;2023-01-18

5. Groups with some cube-free irreducible character co-degrees;Communications in Algebra;2022-11-12

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