$R$-equivalence in adjoint classical groups over fields of virtual cohomological dimension $2$

DOI10.1090/S0002-9947-07-04300-0zbMath1148.20031OpenAlexW2032885553MaRDI QIDQ5437593

Amit Kulshrestha, Raman Parimala

Publication date: 21 January 2008

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-07-04300-0

zbMATH Keywords

semisimple groupsstrong approximation property\(R\)-equivalenceadjoint classical groups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) (K)-theory of quadratic and Hermitian forms (11E70) Rational points (14G05) Linear algebraic groups over global fields and their integers (20G30)

Related Items (2)

Rational equivalence on adjoint groups of type 𝐷_{𝑛} over fields of virtual cohomological dimension 2 ⋮ The norm principle for type $D_n$ groups over complete discretely valued fields

Cites Work

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• Cohomologische Invarianten quadratischer Formen
• Classical groups and the Hasse principle.
• \(R\)-equivalence and special unitary groups
• Chow groups of zero cycles on pencils of quadrics
• \(R\)-equivalence and rationality problem for semisimple adjoint classical algebraic groups
• The \(R\)-equivalence on reductive algebraic groups defined over a global field
• On some Hasse principles over formally real fields
• Trace forms of \(G\)-Galois algebras in virtual cohomological dimension 1 and 2
• Arithmetic of linear algebraic groups over 2-dimensional geometric fields
• Galois cohomology of the classical groups over fields of cohomological dimension \(\leq 2\)
• Quadratische Semi-Ordnungen und quadratische Formen
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