On R-triviality of F 4

Article Type

Research Article

Publication Title

Israel Journal of Mathematics

Abstract

It is known that simple algebraic groups of type F4 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.

First Page

145

Last Page

161

DOI

10.1007/s11856-021-2175-4

Publication Date

9-1-2021

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