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- W1680679059 abstract "Let R be a semi-local regular ring containing an infinite perfect field, and let K be the field of fractions of R. Let H be a simple algebraic group of type F_4 over R such that H_K is the automorphism group of a 27-dimensional Jordan algebra which is a first Tits construction. If char K is not 2, this means precisely that the f_3 invariant of H_K is trivial. We prove that if an H-torsor is rationally trivial, then it is trivial over R. This result is a particular case of the Grothendieck-Serre conjecture. It continues the recent series of papers by I. Panin, N.Vavilov and the authors, and complements the result of V. Chernousov on the Grothendieck-Serre conjecture for groups of type F_4 with trivial g_3 invariant." @default.
- W1680679059 created "2016-06-24" @default.
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- W1680679059 date "2009-11-16" @default.
- W1680679059 modified "2023-09-27" @default.
- W1680679059 title "Grothendieck-Serre conjecture for groups of type F_4 with trivial f_3 invariant" @default.
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