We study the problem when the product of two non-linear Galois conjugate characters of a finite group are irreducible. We also prove new results on irreducible tensor products of cross-characteristic Brauer characters of quasisimple groups of Lie type.

中文翻译：

---

关于字符的不可约积

我们研究了有限组的两个非线性伽罗瓦共轭特征的乘积不可约时的问题。我们还证明了关于Lie型拟简单群的交叉特征Brauer特征的不可约张量积的新结果。