论文标题
有一些有界代码的有限组
Finite groups with some bounded codegrees
论文作者
论文摘要
对于有限的组$ g $的字符$χ$,数字cod $(χ):= | g:\ g:\ mathrm {ker}(χ)|/χ(1)$称为$χ$的代码。 /\ mathrm {cod}(χ)$,当$ g $的不可减至的字符之间变化时。
For a character $χ$ of a finite group $G$, the number cod$(χ):=|G:\mathrm{ker}(χ)|/χ(1)$ is called the codegree of $χ$.In this paper, we give a solvability criterion for a finite group $G$ depending on the minimum of the ratio $χ(1)^2 /\mathrm{cod}(χ)$, when $χ$ varies among the irreducible characters of $G$.