On chains in division algebras of degree 3 |
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| Authors: | Darrell Haile Jung-Miao Kuo Jean-Pierre Tignol |
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| Institution: | 1. Department of Mathematics, Indiana University, Bloomington, IN 47401, USA;2. Department of Mathematics, National Taiwan University, Taipei, Taiwan;3. Université catholique de Louvain, chemin du cyclotron, 2, B-1348 Louvain-la-Neuve, Belgium |
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| Abstract: | Let D be a division algebra of degree 3 over a field containing a primitive cube root of unity. We give two proofs of a theorem of Rost asserting that any two Kummer elements in D can be connected by a chain of length 4. To cite this article: D. Haile et al., C. R. Acad. Sci. Paris, Ser. I 347 (2009). |
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