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Tame Galois p-extensions of p-henselian fields |
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| Authors: | Antonio José Engler A Prestel |
| Institution: | IMECC-UNICAMP, Caixa Postal 6065, 13081-970-Campinas-SP-Brasil.?e-mail: engler@ime.unicamp.br, BR Fakult?t für Mathematik und Informatik, Universit?t Konstanz,?D–78457 Konstanz, Postfach 5560, Germany. e-mail: alex.prestel@uni-konstanz.de, DE |
| Abstract: | A valued field K is called p-henselian, if its valuation extends uniquely to the maximal Galois p-extension K(p) of K. In this paper we determine the structure of Gal(K(p)/K) in case the residue characteristic is different from p. We do not assume that K contains a p-th root of unity. Received: 3 February 1999 |
| Keywords: | Mathematics Subject Classification (1991): 12F10 12J10 |
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