On totally ramified extensions of discrete valued fields

Details On totally ramified extensions of discrete valued fields On totally ramified extensions of discrete valued fields

2009-07-02

arxiv.org/abs/0907.0341v1

Mathematics

Number Theory

Scientific paper

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.

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