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On Totally Ramified Extensions of Discrete Valued Fields

  • Lior Bary-SorokerEmail author
  • Elad Paran
Conference paper
Part of the Progress in Mathematics book series (PM, volume 304)

Abstract

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 𝔽×pr̵translation of a single element. We apply the criterion to construct some interesting examples.

Keywords

Ramification Artin-Schreier 

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Copyright information

© Springer Basel 2013

Authors and Affiliations

  1. 1.Einstein Institute of Mathematics Edmond J. Safra Campus Givat RamThe Hebrew University of JerusalemJerusalemIsrael
  2. 2.School of Mathematical SciencesTel Aviv UniversityTel AvivIsrael

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