On finite nilpotent matrix groups over integral domains. (Q2014906)
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scientific article; zbMATH DE number 6304835
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On finite nilpotent matrix groups over integral domains. |
scientific article; zbMATH DE number 6304835 |
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On finite nilpotent matrix groups over integral domains. (English)
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16 June 2014
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Summary: We consider finite nilpotent groups of matrices over commutative rings. A general result concerning the diagonalization of matrix groups in the terms of simple conditions for matrix entries is proven. We also give some arithmetic applications for representations over Dedekind rings.
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finite nilpotent groups
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matrix groups over commutative rings
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diagonalization of matrices
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representations over Dedekind rings
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