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Tractable Fields |
Canad. J. Math. 51(1999), 10-25
Published:1999-02-01
Printed: Feb 1999
Printed: Feb 1999
- M. Chacron
- J.-P. Tignol
- A. R. Wadsworth
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 |