``Hasse principle'' for \(\text{GL}_n(D)\) (Q1579691)
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scientific article; zbMATH DE number 1506953
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | ``Hasse principle'' for \(\text{GL}_n(D)\) |
scientific article; zbMATH DE number 1506953 |
Statements
``Hasse principle'' for \(\text{GL}_n(D)\) (English)
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26 November 2000
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Let \(D\) be a Euclidean ring, \(n\in\mathbb{N}\) and \(\text{GL}_n(D)\) the \(n\)-th general linear group over \(D\). If \(f\) is an endomorphism of \(\text{GL}_n(D)\) which preserves conjugacy classes then \(f\) is already an inner automorphism.
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Hasse principle
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Euclidean rings
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general linear groups
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endomorphisms
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conjugacy classes
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inner automorphisms
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0.97179043
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0.93379945
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0.88457835
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0.8770506
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0.8692007
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0.8677167
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0.8663822
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0.8650695
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