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# Tractable Fields

Published:1999-02-01
Printed: Feb 1999
• M. Chacron
• J.-P. Tignol
• A. R. Wadsworth
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## Abstract

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 i{f}f $F$ has at most one dyadic place. Several other examples of tractable and nontractable fields are given.
 MSC Classifications: 12E15 - Skew fields, division rings [See also 11R52, 11R54, 11S45, 16Kxx] 11R52 - Quaternion and other division algebras: arithmetic, zeta functions

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