On the Frobenius numbers of symmetric groups (Q1965257)
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scientific article; zbMATH DE number 1400107
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Frobenius numbers of symmetric groups |
scientific article; zbMATH DE number 1400107 |
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On the Frobenius numbers of symmetric groups (English)
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28 May 2001
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Let \(A\) be a finite Abelian group and \(G\) a finite group. Then \textit{T. Yoshida} [J. Algebra 156, No. 1, 125-156 (1993; Zbl 0827.20033)] proved that \(|\Hom(A,G)|\equiv 0\bmod\gcd(|A|,|G|)\), which is a generalization of a theorem of Frobenius. The author of the present article proves a theorem whose consequence is the above result.
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Frobenius numbers
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symmetric groups
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finite Abelian groups
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finite groups
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Frobenius theorem
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