Tractable fields

Authors
Chacron, M Tignol, JP Wadsworth, AR
Citation
M. Chacron et al., Tractable fields, CAN J MATH, 51(1), 1999, pp. 10-25
Citations number
37
Categorie Soggetti
Mathematics
Journal title
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES
ISSN journal
0008414X → ACNP
Volume
51
Issue
1
Year of publication
1999
Pages
10 - 25
Database
ISI
SICI code
0008-414X(199902)51:1<10:TF>2.0.ZU;2-T
Abstract
A field F is said to be tractable when a condition described below on the s imultaneous 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. Sev eral other examples of tractable and nontractable fields are given.