On the characterization of local fields by their absolute Galois groups |
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| Authors: | Moshe Jarden Jürgen Ritter |
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| Affiliation: | Department of Mathematics, Tel-Aviv University, Ramat-Aviv, Tel-Aviv, Israel;FB 3-Mathematik, TU Berlin, D-1000 Berlin 12 Germany |
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| 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. |
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