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Localization-completion strikes again: relative \(K_1\) is nilpotent by Abelian - MaRDI portal

Localization-completion strikes again: relative \(K_1\) is nilpotent by Abelian (Q1008757)

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scientific article; zbMATH DE number 5534976
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Localization-completion strikes again: relative \(K_1\) is nilpotent by Abelian
scientific article; zbMATH DE number 5534976

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    Localization-completion strikes again: relative \(K_1\) is nilpotent by Abelian (English)
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    30 March 2009
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    Previously, the authors published several papers proving that classical and Chevalley groups of rank \(\geq 2\) over commutative rings \(R\) modulo their elementary subgroups are nilpotent when \(R\) has finite Bass-Serre dimension. In the present paper, relative versions of these results, involving an ideal \(I\) of \(R\), are proven.
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    unstable \(K_1\) groups
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