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 Fxpr-translation of a single element. We apply the criterion to construct some interesting examples.
Original language | English |
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Title of host publication | Arithmetic and Geometry Around Galois Theory |
Publisher | Springer Basel |
Pages | 371-376 |
Number of pages | 6 |
ISBN (Electronic) | 9783034804875 |
ISBN (Print) | 9783034804868 |
DOIs | |
State | Published - 1 Jan 2013 |
Externally published | Yes |
Bibliographical note
Publisher Copyright:© Springer Basel 2013. All rights reserved.
Keywords
- Artin-Schreier
- Ramification