A new approach to character-free proof for Frobenius theorem

Let G be a Frobenius group. Using character theory, it is proved that the Frobenius kernel of G is a normal subgroup of G, which is well-known as a Frobenius theorem. There is no known character-free proof for Frobenius theorem. In this note, we prove it, by assuming that Frobenius groups are non-si...

Full description

Bibliographic Details
Main Authors: Seyedeh Fatemeh Arfaeezarandi, Vahid Shahverdi
Format: Article
Language:English
Published: Amirkabir University of Technology 2023-02-01
Series:AUT Journal of Mathematics and Computing
Subjects:
Online Access:https://ajmc.aut.ac.ir/article_4863_36ef014a4f85c1bbee9f6f358b602a34.pdf