Variations on a theme of groups splitting by a quadratic extension and Grothendieck-Serre conjecture for group schemes \(F_4\) with trivial \(g_3\) invariant

zbMath1210.14050MaRDI QIDQ612976

Vladimir I. Chernousov

Publication date: 16 December 2010

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/230981

zbMATH Keywords

linear algebraic groupstorsorsexceptional groupsnon-Abelian cohomologyGrothendieck-Serre conjecturelocal regular rings

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Cohomology theory for linear algebraic groups (20G10) Group schemes (14L15)

Related Items (3)

Grothendieck–Serre in the quasi-split unramified case ⋮ A proof of the Grothendieck-Serre conjecture on principal bundles over regular local rings containing infinite fields ⋮ Simple algebraic groups with the same maximal tori, weakly commensurable Zariski-dense subgroups, and good reduction

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