恰含两个非线性Monolith特征标的有限群

Finite Groups with Exactly Two Nonlinear Monolithic Characters

对恰含两个非线性monolith特征标的有限群作分类研究,证明这种群共分9类,并给出了它们的群论结构.

The monolithic characters influence mostly the structure of a finite group by the studies of I. Isaacs, Y. Berkovich and others. In this article we prove that the groups which have exactly two nonlinear monolith characters are classified into nine classes, and their group structures are described.