JournalscmhVol. 83, No. 4pp. 913–925

On the Kneser–Tits problem for triality forms

  • Gopal Prasad

    University of Michigan, Ann Arbor, United States
On the Kneser–Tits problem for triality forms cover
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Abstract

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. 913–925

DOI 10.4171/CMH/148