\(R\)-equivalence and special unitary groups

DOI10.1006/jabr.1998.7534zbMath0947.14023OpenAlexW2020632254MaRDI QIDQ1272461

Vladimir I. Chernousov, Alexander S. Merkurjev

Publication date: 5 November 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7534

zbMATH Keywords

algebraic groupsbirational geometrygroup of \(R\)-equivalence classesnorm homomorphism

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Group actions on varieties or schemes (quotients) (14L30) Rational and unirational varieties (14M20)

Related Items (16)

Arithmetic of linear algebraic groups over 2-dimensional geometric fields ⋮ The group of \(K_{1}\)-zero-cycles on the second generalized Severi-Brauer variety of an algebra of index 4 ⋮ Excellent algebraic groups. I ⋮ Pathologies of the group of R-equivalence classes of a linear algebraic groups ⋮ Prescribed behavior of central simple algebras after scalar extension. ⋮ 𝑅-equivalence in spinor groups ⋮ Zero-cycles with coefficients for the second generalized symplectic involution variety of an algebra of degree 4 ⋮ Unitary \(\mathrm{SK}_1\) of semiramified graded and valued division algebras. ⋮ $R$-equivalence in adjoint classical groups over fields of virtual cohomological dimension $2$ ⋮ Reduced Whitehead groups and the conjugacy problem for special unitary groups of anisotropic Hermitian forms ⋮ On \(R\)-triviality of \(F_4\) ⋮ Cayley groups ⋮ Automorphisms of Albert algebras and a conjecture of Tits and Weiss II ⋮ Cohomological invariants of simply connected groups of rank \(3\) ⋮ R‐triviality of groups of type F4 arising from the first Tits construction ⋮ On the Tits–Weiss conjecture and the Kneser–Tits conjecture for and (With an Appendix by R. M. Weiss)

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