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Abstract view

Tractable Fields

Published:1999-02-01
Printed: Feb 1999
• M. Chacron
• J.-P. Tignol
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.