论文标题
可解决的群体的单一字符具有主要功率代码为
Solvable groups whose monomial, monolithic characters have prime power codegrees
论文作者
论文摘要
在此注释中，我们证明，如果$ g $是可解决的，并且$ {\ rm cod}（χ）$是$ p $ - 对于每种非线性，单一，单层，单片$χ\ in {\ rm irr}（g）$ in {\ rm irr} $ in {其中$ p $是素数，$ p $是$ g $的sylow $ p $ -subgroup。
In this note, we prove that if $G$ is solvable and ${\rm cod}(χ)$ is a $p$-power for every nonlinear, monomial, monolithic $χ\in {\rm Irr}(G)$ or every nonlinear, monomial, monolithic $χ\in {\rm IBr} (G)$, then $P$ is normal in $G$, where $p$ is a prime and $P$ is a Sylow $p$-subgroup of $G$.
