Seidon Alsaody

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math.RA2019

$R$ -triviality of Groups of Type $F_{4}$ Arising from the First Tits Construction

Seidon Alsaody, Vladimir Chernousov, Arturo Pianzola

Any group of type $F_{4}$ is obtained as the automorphism group of an Albert algebra. We prove that such a group is $R$ -trivial whenever the Albert algebra is obtained from the…

math.RA2019

On the Tits-Weiss Conjecture and the Kneser-Tits Conjecture for $E_{7, 1}^{78}$ and $E_{8, 2}^{78}$

Seidon Alsaody, Vladimir Chernousov, Arturo Pianzola

We prove that the structure group of any Albert algebra over an arbitrary field is $R$ -trivial. This implies the Tits-Weiss conjecture for Albert algebras and the Kneser-Tits conje…

R-triviality of Groups of Type F4​ Arising from the First Tits Construction

On the Tits-Weiss Conjecture and the Kneser-Tits Conjecture for E7,178​ and E8,278​

$R$ -triviality of Groups of Type $F_{4}$ Arising from the First Tits Construction

On the Tits-Weiss Conjecture and the Kneser-Tits Conjecture for $E_{7, 1}^{78}$ and $E_{8, 2}^{78}$