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arXiv:2002.02103 [math.GR]AbstractReferencesReviewsResources

A group theoretic proof of Frobenius' theorem

Liguo He, Congru Xu

Published 2020-02-06Version 1

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 the note, we give a character-free proof of this result, which is a well-known problem in the theory of finite groups.

Categories: math.GR
Subjects: 20C15, 20Dxx
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