Tractable fields

Chacron, Maurice;Tignol, Jean-Pierre;Wadsworth, Adrian R.
(1999) Canadian Journal of Mathematics — Vol. 51, n° 1, p. 10-25 (1999)

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Authors
  • Chacron, MauriceCarleton University
    Author
  • Tignol, Jean-Pierreorcid-logoUCLouvain
    Author
  • Wadsworth, Adrian R.University of Califoria, San Diego
    Author
Abstract
A field F is said to be tractable when a certain condition on the simultaneous representation of quaternion algebras holds over F. It is shown that a global field F is tractable iff F has at most one dyadic place. Several other examples of tractable and nontractable fields are given.
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Chacron, M., Tignol, J.-P., & Wadsworth, A. R. (1999). Tractable fields. Canadian Journal of Mathematics, 51(1), 10-25. https://hdl.handle.net/2078.5/140586 (Original work published 1999)