On group algebras with metabelian unit groups (Q1922117)
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scientific article; zbMATH DE number 926941
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On group algebras with metabelian unit groups |
scientific article; zbMATH DE number 926941 |
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On group algebras with metabelian unit groups (English)
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3 March 1997
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The author characterizes all finite groups \(G\) for which the unit group of the group algebra \(\mathbb{F} G\), \(\mathbb{F}\) a field of characteristic 2, is metabelian. The case of odd characteristic has been studied by \textit{A. Shalev} [J. Pure Appl. Algebra 72, No. 3, 295-302 (1991; Zbl 0735.16020)].
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metabelian unit groups
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finite groups
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group algebras
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