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arXiv · 0907.0341

On totally ramified extensions of discrete valued fields

Lior Bary-Soroker·Elad Paran
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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.

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Lior Bary-Soroker, Elad Paran. 2009-07-02. On totally ramified extensions of discrete valued fields. https://arxiv.org/abs/0907.0341

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