论文标题

Frobenius定理的一组理论证明

A group theoretic proof of Frobenius' theorem

论文作者

He, Liguo, Xu, Congru

论文摘要

让G为Frobenius内核N.的Frobenius群体。应用角色理论,G。Frobenius证明N是1901年G的正常子组。这是有限群体的性格理论的著名应用。在本说明中,我们给出了结果的无角色证明,这在有限群体的理论中是一个众所周知的问题。

Let G be a Frobenius group with the Frobenius kernel N. Applying character theory, G. Frobenius proved that N was a normal subgroup of G in the year 1901. This is a celebrated application of the character theory of finite groups. In this note, we give a character-free proof of the result, which is a well-known problem in the theory of finite groups.

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