Element orders and codegrees of characters in non-solvable groups

Z. Akhlaghi, E. Pacifici, L. Sanus

Given a finite group $G$ and an irreducible complex character $\chi$ of $G$, the codegree of $\chi$ is defined as the integer $\mathrm{cod}(\chi )=|G:\ker \chi |/\chi (1)$. It was conjectured by G. Qian…