恰含两个非线性Monolith特征标的有限群

西南大学学报（自然科学版）

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钟春桃,张广祥. 恰含两个非线性Monolith特征标的有限群[J]. 西南大学学报（自然科学版）, 2009, 31(4).

引用本文:

钟春桃,张广祥. 恰含两个非线性Monolith特征标的有限群[J]. 西南大学学报（自然科学版）, 2009, 31(4).

Finite Groups with Exactly Two Nonlinear Monolithic Characters[J]. Journal of Southwest University Natural Science Edition, 2009, 31(4).

Citation:

Finite Groups with Exactly Two Nonlinear Monolithic Characters[J]. Journal of Southwest University Natural Science Edition, 2009, 31(4).

摘要: 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.
- monolith特征标,可解群,不可约特征标
Abstract: 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.