A group theoretic proof of Frobenius' theorem
General Mathematics
2020-11-23 v4
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.
Keywords
Cite
@article{arxiv.2002.02103,
title = {A group theoretic proof of Frobenius' theorem},
author = {Liguo He and Congru Xu},
journal= {arXiv preprint arXiv:2002.02103},
year = {2020}
}
Comments
The proof of Lemma 2.7 is false