For a character $\unicode[STIX]{x1D712}$ of a finite group $G$, the co-degree of $\unicode[STIX]{x1D712}$ is $\unicode[STIX]{x1D712}^{c}(1)=[G:\text{ker}\unicode[STIX]{x1D712}]/\unicode[STIX]{x1D712}(1)$. We study finite groups whose co-degrees of nonprincipal (complex) irreducible characters are divisible by a given prime $p$.

中文翻译：

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-不可约字符的共度的可分性

对于一个角色$\unicode[STIX]{x1D712}$有限群的$G$, 的共度$\unicode[STIX]{x1D712}$是$\unicode[STIX]{x1D712}^{c}(1)=[G:\text{ker}\unicode[STIX]{x1D712}]/\unicode[STIX]{x1D712}(1)$. 我们研究非主（复）不可约特征的共度可以被给定素数整除的有限群$p$.