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On R-triviality of F

Israel Journal of Mathematics, ISSN: 1565-8511, Vol: 244, Issue: 1, Page: 145-161
2021
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Article Description

It is known that simple algebraic groups of type F defined over a field k are precisely the full automorphism groups of Albert algebras over k. We explore R-triviality for the algebraic group Aut(A) when A is an Albert algebra. In this paper, we consider the case when A arises from the first Tits construction. We prove that Aut(A) is R-trivial, in the sense of Manin.

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