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 |
|---|---|
| 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