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arXiv · 2002.02103

A group theoretic proof of Frobenius' theorem

Liguo He·Congru Xu
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Abstract

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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Liguo He, Congru Xu. 2020-02-06. A group theoretic proof of Frobenius' theorem. https://arxiv.org/abs/2002.02103

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