%0 Journal Article
%T Solvable groups whose monomial, monolithic characters have prime power codegrees
%J International Journal of Group Theory
%I University of Isfahan
%Z 2251-7650
%A Chen, Xiaoyou
%A Lewis, Mark L.
%D 2023
%\ 12/01/2023
%V 12
%N 4
%P 223-226
%! Solvable groups whose monomial, monolithic characters have prime power codegrees
%K monomial Characters
%K monolithic characters
%K character codegrees
%R 10.22108/ijgt.2022.131101.1755
%X 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 $G$.
%U https://ijgt.ui.ac.ir/article_26289_47bc384bead7c28b76c6eff6dc178c60.pdf