Finiteness of \(R\)-equivalence groups of some adjoint classical groups of type \(^2D_3\). (Q875089)
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scientific article; zbMATH DE number 5141720
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Finiteness of \(R\)-equivalence groups of some adjoint classical groups of type \(^2D_3\). |
scientific article; zbMATH DE number 5141720 |
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Finiteness of \(R\)-equivalence groups of some adjoint classical groups of type \(^2D_3\). (English)
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11 April 2007
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For an algebraic group \(G\) defined over a field \(F\), let \(G(F)/R\) be the group of \(R\)-equivalence classes introduced by Manin. Examples of \(G\) are given such that \(G\) is connected, linear, adjoint, not defined over a global field, not quasi-split, while \(G(F)/R\) is finite and non-trivial.
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\(R\)-equivalence groups
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classical adjoint groups
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unramified cohomology
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