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Tractable Fields

Published online by Cambridge University Press:  20 November 2018

M. Chacron ,
J.-P. Tignol  and
A. R. Wadsworth
M. Chacron
Affiliation:
Department of Mathematics, Carleton University, Ottawa, Ontario, K1S 5B6
J.-P. Tignol
Affiliation:
Institut de Mathématique Pure et Appliquée, Université Catholique de Louvain, Chemin du Cyclotron, 2, B-1348 Louvain-la-Neuve, Belgium email: [email protected]
A. R. Wadsworth
Affiliation:
Department of Mathematics, 0112, University of California at San Diego, 9500 Gilman Drive, La Jolla, California 92093-0112, USA email: [email protected]
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Abstract

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A field $F$ is said to be tractable when a condition described below 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.

Keywords

12E1511R52
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 51 , Issue 1 , 01 February 1999 , pp. 10 - 25
Copyright
Copyright © Canadian Mathematical Society 1999

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