Finiteness of \(R\)-equivalence groups of some adjoint classical groups of type \(^2D_3\).

DOI10.1016/j.jalgebra.2006.07.005zbMath1126.20027OpenAlexW2088909516MaRDI QIDQ875089

Grégory Berhuy

Publication date: 11 April 2007

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.07.005

zbMATH Keywords

unramified cohomology\(R\)-equivalence groupsclassical adjoint groups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Group actions on varieties or schemes (quotients) (14L30) Galois cohomology of linear algebraic groups (11E72)

Related Items

Spinor groups with good reduction

Cites Work

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• Cohomological invariants and \(R\)-triviality of adjoint classical groups.
• Real components of algebraic varieties and étale cohomology
• Examples of non-rational varieties of adjoint groups
• \(R\)-equivalence and rationality problem for semisimple adjoint classical algebraic groups
• The \(R\)-equivalence on reductive algebraic groups defined over a global field
• The generalized even Clifford algebra
• A Hasse principle for two dimensional global fields.
• La $R$-équivalence sur les tores
• Unramified cohomology of quadrics, I