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A characterization of some finite simple groups by their character codegrees

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  • Hung P. Tong‐Viet

Abstract

Let G$G$ be a finite group and let χ$\chi$ be a complex irreducible character of G$G$. The codegree of χ$\chi$ is defined by cod(χ)=|G:ker(χ)|/χ(1)$\textrm {cod}(\chi)=|G:\textrm {ker}(\chi)|/\chi (1)$, where ker(χ)$\textrm {ker}(\chi)$ is the kernel of χ$\chi$. In this paper, we show that if H$H$ is a finite simple exceptional group of Lie type or a finite simple projective special linear group and G$G$ is any finite group such that the character codegree sets of G$G$ and H$H$ coincide, then G$G$ and H$H$ are isomorphic.

Suggested Citation

  • Hung P. Tong‐Viet, 2025. "A characterization of some finite simple groups by their character codegrees," Mathematische Nachrichten, Wiley Blackwell, vol. 298(4), pages 1356-1369, April.
    • Handle: RePEc:bla:mathna:v:298:y:2025:i:4:p:1356-1369
    DOI: 10.1002/mana.202400283
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