Group rings with \(FC\)-nilpotent unit groups (Q1182637)
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scientific article; zbMATH DE number 31627
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Group rings with \(FC\)-nilpotent unit groups |
scientific article; zbMATH DE number 31627 |
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Group rings with \(FC\)-nilpotent unit groups (English)
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28 June 1992
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Let \(G\) be a group, \(K\) a field of characteristic zero and \( U(KG)\) the unit group of the group algebra \(KG\). Some necessary and sufficient conditions for \(U(\mathbb{Z} G)\) and \(U(KG)\) to be \(FC\)-nilpotent are given.
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unit group
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group algebra
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\(FC\)-nilpotent
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