On totally ramified extensions of discrete valued fields
Number Theory
2009-07-03 v1 Rings and Algebras
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_{p^r}^\times-translation of a single element. We apply the criterion to construct some interesting examples.
Cite
@article{arxiv.0907.0341,
title = {On totally ramified extensions of discrete valued fields},
author = {Lior Bary-Soroker and Elad Paran},
journal= {arXiv preprint arXiv:0907.0341},
year = {2009}
}