On totally ramified extensions of discrete valued fields

Lior Bary-Soroker; Elad Paran

doi:https://doi.org/10.1007/978-3-0348-0487-5

On totally ramified extensions of discrete valued fields

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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^x_pr-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
Pages	371-376
Number of pages	6
ISBN (Electronic)	9783034804875
DOIs	https://doi.org/10.1007/978-3-0348-0487-5
State	Published - 1 Jan 2013
Externally published	Yes

Keywords

Artin-Schreier
Ramification

All Science Journal Classification (ASJC) codes

General Mathematics

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https://doi.org/10.1007/978-3-0348-0487-5

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BT - Arithmetic and Geometry Around Galois Theory

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On totally ramified extensions of discrete valued fields

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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