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Tame Galois p-extensions of p-henselian fields

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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.

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Authors and Affiliations

  1. IMECC-UNICAMP, Caixa Postal 6065, 13081-970-Campinas-SP-Brasil.¶e-mail: engler@ime.unicamp.br, , , , , , BR

    Antonio José Engler

  2. Fakultät für Mathematik und Informatik, Universität Konstanz,¶D–78457 Konstanz, Postfach 5560, Germany. e-mail: alex.prestel@uni-konstanz.de, , , , , , DE

    A. Prestel

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  1. Antonio José Engler
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  2. A. Prestel
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Received: 3 February 1999

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Engler, A., Prestel, A. Tame Galois p-extensions of p-henselian fields. manuscripta math. 99, 249–254 (1999). https://doi.org/10.1007/s002290050172

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  • DOI: https://doi.org/10.1007/s002290050172

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