On the characterization of local fields by their absolute Galois groups

Moshe Jarden; Jürgen Ritter

doi:10.1016/0022-314X(79)90014-3

On the characterization of local fields by their absolute Galois groups

Moshe Jarden^*, Jürgen Ritter

^*Corresponding author for this work

School of Mathematical Sciences

Technical University of Berlin

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

For finite field extensions of the field of Henselian p-adic rational numbers necessary and sufficient conditions are given which state that the fields have isomorphic absolute Galois groups; it is thereby supposed that a p-th root of unity (a 4-th when p = 2) belongs to the fields. Also examples are discussed.

Original language	English
Pages (from-to)	1-13
Number of pages	13
Journal	Journal of Number Theory
Volume	11
Issue number	1
DOIs	https://doi.org/10.1016/0022-314X(79)90014-3
State	Published - Feb 1979

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On the characterization of local fields by their absolute Galois groups

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