TY  - JOUR
AB  - Simple algebraic groups of type F4 defined over a field k are the full automorphism groups of Albert algebras over k. Let A be an Albert algebra over a field k of arbitrary characteristic whose isotopes are all isomorphic. We prove that Aut(A) is R-trivial, in the sense of Manin. If k contains cube roots of unity and A is any Albert algebra over k, we prove that there is an isotope A(v) of A such that Aut(A(v)) is R-trivial.
AU  - Thakur, Maneesh
DA  - 2021
DO  - 10.17879/06089642750
LA  - eng
IS  - Münster Journal of Mathematics
M2  - 497
PY  - 2021
SP  - 497-507
T2  - Münster Journal of Mathematics
TI  - On R-triviality of F4, II
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:6-06089643140
Y2  - 2024-11-22T11:50:26
ER  -