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Fields with almost small absolute Galois group

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Abstract

We construct and study fields F with the property that F has infinitely many extensions of some fixed degree, but E ×/(E ×)n is finite for every finite extension E/F and every n ∈ N.

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Authors and Affiliations

  1. Fachbereich Mathematik und Statistik, University of Konstanz, 78457, Konstanz, Germany

    Arno Fehm

  2. Institut für Mathematische Logik und Grundlagenforschung, University of Münster, Einsteinstr. 62, 48149, Münster, Germany

    Franziska Jahnke

Authors
  1. Arno Fehm
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  2. Franziska Jahnke
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Correspondence to Arno Fehm.

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Fehm, A., Jahnke, F. Fields with almost small absolute Galois group. Isr. J. Math. 214, 193–207 (2016). https://doi.org/10.1007/s11856-016-1356-z

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  • DOI: https://doi.org/10.1007/s11856-016-1356-z

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