On the Kneser�Tits problem for triality forms

• Autores: Gopal Prasad
• Localización: Commentarii mathematici helvetici, ISSN 0010-2571, Vol. 83, Nº 4, 2008, págs. 913-925
• Idioma: inglés
• DOI: 10.4171/cmh/148
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• Resumen

  • 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.