On chains in division algebras of degree 3

Haile, Darrell;Kuo, Jung-Miao;Tignol, Jean-Pierre
(2009) Comptes rendus - Mathématique — Vol. 347, n° 15-16, p. 849-852 (2009)

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Authors
  • Haile, DarrellUniversity of Indiana
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  • Kuo, Jung-MiaoNational Taiwan UNiversity
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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.
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Citations

Haile, D., Kuo, J.-M., & Tignol, J.-P. (2009). On chains in division algebras of degree 3. Comptes rendus - Mathématique, 347(15-16), 849-852. https://doi.org/10.1016/j.crma.2009.06.007 (Original work published 2009)