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Galois groups over complete valued fields

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Abstract

We propose an elementary algebraic approach to the patching of Galois groups. We prove that every finite group is regularly realizable over the field of rational functions in one variable over a complete discrete valued field.

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Authors and Affiliations

  1. Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, 69978, Tel Aviv, Israel

    Dan Haran

  2. University of Florida, 32611, Gainesville, FL, USA

    Helmut Völklein

  3. Universität Erlangen, Germany

    Helmut Völklein

Authors
  1. Dan Haran
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  2. Helmut Völklein
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Corresponding author

Correspondence to Dan Haran.

Additional information

Partially supported by NSF grant DMS 9306479.

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Haran, D., Völklein, H. Galois groups over complete valued fields. Israel J. Math. 93, 9–27 (1996). https://doi.org/10.1007/BF02761092

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  • DOI: https://doi.org/10.1007/BF02761092

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