Character values and conductors of low-rank groups of Lie type

Christopher Herbig, Nguyen N. Hung

Let $\ddot{I}‡$ be a complex irreducible character of a finite group $G$. The conductor of $\ddot{I}‡$, denoted $c(\ddot{I}‡)$, is the smallest positive integer $n$ such that $χ(x)\in \mathbb{Q}(\exp(…