The purpose of this paper is to provide a concrete description of the “Whitehead group” W(k,G) := G(k)/G(k)+ for the simply connected triality forms G of k-rank 1, and to use this description to prove that if k is a global field, then the Kneser–Tits problem for these forms has an affirmative solution.
Cite this article
Gopal Prasad, On the Kneser–Tits problem for triality forms. Comment. Math. Helv. 83 (2008), no. 4, pp. 913–925DOI 10.4171/CMH/148