Stably free cancellation for group rings of cyclic and dihedral type. (Q2907038)
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scientific article; zbMATH DE number 6078031
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stably free cancellation for group rings of cyclic and dihedral type. |
scientific article; zbMATH DE number 6078031 |
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5 September 2012
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integral group rings
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projective modules
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stably free modules
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stably free cancellation property
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Stably free cancellation for group rings of cyclic and dihedral type. (English)
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A ring \(R\) has the stable free cancellation property if every finitely generated stably free \(R\)-module is free. Suppose that \(F_n\) is a free group of rank \(n>0\) and \(C_p\), \(D_p\), where \(p\) is a prime, is the cyclic group of order \(p\) and the dihedral group of order \(2p\). The main result of the paper states that integral group rings of the groups \(F_n\times C_p\), \(F_n\times D_p\) have the stable cancellation property.
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0.8873439431190491
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0.8115507364273071
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