The kernel of the Rost invariant, Serre's conjecture II and the Hasse principle for quasi-split groups \(^{3,6}D_4\), \(E_6\), \(E_7\). (Q1407659)
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scientific article; zbMATH DE number 1982572
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The kernel of the Rost invariant, Serre's conjecture II and the Hasse principle for quasi-split groups \(^{3,6}D_4\), \(E_6\), \(E_7\). |
scientific article; zbMATH DE number 1982572 |
Statements
The kernel of the Rost invariant, Serre's conjecture II and the Hasse principle for quasi-split groups \(^{3,6}D_4\), \(E_6\), \(E_7\). (English)
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16 September 2003
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For the simple simply connected groups in the title defined over a perfect field of characteristic \(\neq 2,3\), it is proved: the kernel of the Rost invariant is trivial; if \(\text{cd\,}F\leq 2\) then Serre's conjecture II holds.
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Rost invariant
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simply connected groups
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cohomological dimension
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perfect fields
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