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Demuškin fields with valuations

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Abstract.

We study the arithmetic structure of fields F of characteristic \(\neq p\) containing a primitive pth root of unity for which the maximal pro-p Galois group of F is a (finitely generated) Demuškin group.

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Authors and Affiliations

  1. Department of Mathematics, Ben-Gurion University of the Negev, P.O. Box 653, Be'er-Sheva 84105, Israel (e-mail: efrat@math.bgu.ac.il) , , , , , , IL

    Ido Efrat

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  1. Ido Efrat
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Received: 3 July 2001 / Published online: 2 December 2002

The research has been supported by the Israel Science Foundation grant 8007/99

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Efrat, I. Demuškin fields with valuations. Math Z 243, 333–353 (2003). https://doi.org/10.1007/s00209-002-0471-1

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  • DOI: https://doi.org/10.1007/s00209-002-0471-1

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