On almost $p$-rational characters of $p^{\prime }$-degree

Nguyen Ngoc Hung, Gunter Malle, Attila Maróti

Let $p$ be a prime and $G$ a finite group. A complex character of $G$ is called almost $p$-rational if its values belong to a cyclotomic field $\mathbb{Q}(e^{2\pi i/n})$ for some $n\i…