Commutativity of finite groups according to Wedderburn and Witt (Q1127978)
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scientific article; zbMATH DE number 1186709
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Commutativity of finite groups according to Wedderburn and Witt |
scientific article; zbMATH DE number 1186709 |
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Commutativity of finite groups according to Wedderburn and Witt (English)
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4 October 1999
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The core argument (involving cyclotomic polynomials) of Witt's classical proof for Wedderburn's theorem on the commutativity of finite division rings is used to give an arithmetical characterization of finite abelian groups. No wonder that this can then be used to obtain a proof of Wedderburn's theorem.
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cyclotomic polynomials
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Wedderburn's theorem
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finite division rings
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finite Abelian groups
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