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manuscripta mathematica

, Volume 62, Issue 2, pp 219–225 | Cite as

Elementary equivalence and codimension in p-adic fields

  • L. Bélair
  • L. van den Dries
  • A. Macintyre
Article
  • 28 Downloads

Abstract

We give examples of fields elementarily equivalent to a given finite extension of the p-adic numbers but not containing a subfield of finite codimension elementarily equivalent to the p-adics.

Keywords

Number Theory Algebraic Geometry Topological Group Finite Extension Finite Codimension 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. [PR]
    A. Prestel and P. Roquette.Formally p-adic Fields, Springer-Verlag, LNM 1050, 1984Google Scholar
  2. [We]
    A. Weil. Adèles and Algebraic Groups. Institute for Advanced Study, Princeton, 1961Google Scholar

Copyright information

© Springer-Verlag 1988

Authors and Affiliations

  • L. Bélair
    • 1
  • L. van den Dries
    • 2
  • A. Macintyre
    • 3
  1. 1.Department of MathematicsUniversité de MontréalMontréalCanada
  2. 2.Department of MathematicsUniversity of Illinois at Urbana-ChampaignUrbanaUSA
  3. 3.Mathematical InstituteUniversity of OxfordOxfordEngland

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