On totally ramified extensions of discrete valued fields

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
Number of pages6
ISBN (Electronic)9783034804875
StatePublished - 1 Jan 2013
Externally publishedYes


  • Artin-Schreier
  • Ramification

All Science Journal Classification (ASJC) codes

  • General Mathematics


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