info:eu-repo/semantics/article
R-triviality of groups of type F4 arising from the first Tits construction
Fecha
2021-04Registro en:
Alsaody, Seidon; Chernousov, Vladimir; Pianzola, Arturo; R-triviality of groups of type F4 arising from the first Tits construction; John Wiley & Sons Inc.; Bulletin Of The London Mathematical Society; 53; 2; 4-2021; 535-547
0024-6093
1469-2120
CONICET Digital
CONICET
Autor
Alsaody, Seidon
Chernousov, Vladimir
Pianzola, Arturo
Resumen
Any group of type (Formula presented.) is obtained as the automorphism group of an Albert algebra. We prove that such a group is (Formula presented.) -trivial whenever the Albert algebra is obtained from the first Tits construction. Our proof uses cohomological techniques and the corresponding result on the structure group of such Albert algebras.