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