A characterization of some finite simple groups by their character codegrees
Hung P. Tong‐Viet · arXiv (Cornell University) · 2024
For a finite group $G$ and an irreducible complex character $χ$ of $G$, the codegree of $χ$ is defined by $\textrm{cod}(χ)=|G:\textrm{ker}(χ)|/χ(1)$, where $\textrm{ker}(χ)$ is the kernel of $χ$. In this paper, we show that if $H$ is a finite simple exceptional group of Lie type or a projective special linear group and $G$ is any finite group such that the character codegree sets of $G$ and $H$ coincide, then $G$ and $H$ are isomorphic.