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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, 11R52 show english descriptions Skew fields, division rings [See also 11R52, 11R54, 11S45, 16Kxx]
Quaternion and other division algebras: arithmetic, zeta functions
12E15 - Skew fields, division rings [See also 11R52, 11R54, 11S45, 16Kxx]
11R52 - Quaternion and other division algebras: arithmetic, zeta functions
 

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