On totally ramified extensions of discrete valued fields

Lior Bary-Soroker, Elad Paran

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


We give a simple characterization of the totally wild ramified valuations in a Galois extension of fields of characteristic p. This criterion involves the valuations of Artin-Schreier cosets of the Fxpr-translation of a single element. We apply the criterion to construct some interesting examples.

Original languageEnglish
Title of host publicationArithmetic and Geometry Around Galois Theory
PublisherSpringer Basel
Number of pages6
ISBN (Electronic)9783034804875
ISBN (Print)9783034804868
StatePublished - 1 Jan 2013
Externally publishedYes

Bibliographical note

Publisher Copyright:
© Springer Basel 2013. All rights reserved.


  • Artin-Schreier
  • Ramification


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