Solvable groups whose monomial, monolithic characters have prime power codegrees
نویسندگان
1 School of Sciences, Henan University of Technology, P.O.Box 450001, Zhengzhou, China
2 Department of Mathematical Sciences, Kent State University, P.O.Box 44242, Kent, USA
doi
10.22108/ijgt.2022.131101.1755چکیده
In this note, we prove that if $G$ is solvable and ${\rm cod}(\chi)$ is a $p$-power for every nonlinear, monomial, monolithic $\chi\in {\rm Irr}(G)$ or every nonlinear, monomial, monolithic $\chi \in {\rm IBr} (G)$, then $P$ is normal in $G$, where $p$ is a prime and $P$ is a Sylow $p$-subgroup of $G$.
