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 $G$.
chen, X., Lewis, M. (2022). Solvable groups whose monomial, monolithic characters have prime power codegrees. International Journal of Group Theory, (), -. doi: 10.22108/ijgt.2022.131101.1755
MLA
xiaoyou chen; Mark L. Lewis. "Solvable groups whose monomial, monolithic characters have prime power codegrees". International Journal of Group Theory, , , 2022, -. doi: 10.22108/ijgt.2022.131101.1755
HARVARD
chen, X., Lewis, M. (2022). 'Solvable groups whose monomial, monolithic characters have prime power codegrees', International Journal of Group Theory, (), pp. -. doi: 10.22108/ijgt.2022.131101.1755
VANCOUVER
chen, X., Lewis, M. Solvable groups whose monomial, monolithic characters have prime power codegrees. International Journal of Group Theory, 2022; (): -. doi: 10.22108/ijgt.2022.131101.1755
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