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Kummer subfields of Malcev-Neumann division algebras

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Abstract

The abelian Galois subfields of Malcev-Neumann formal series division rings are determined. The results obtained in this paper lead to a lower bound for the rank of Galois splitting fields of universal division algebras.

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Authors and Affiliations

  1. Department of Mathematics, Université Catholique de Louvain, B-1348, Louvain-la-Neuve, Belgium

    J. -P. Tignol

  2. Institute of Mathematics, The Hebrew University of Jerusalem, 91904, Jerusalem, Israel

    S. A. Amitsur

Authors
  1. J. -P. Tignol
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  2. S. A. Amitsur
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Additional information

The research leading to this paper was begun while the first author was visiting the Hebrew University of Jerusalem, whose hospitality is gratefully acknowledged.

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Tignol, J.P., Amitsur, S.A. Kummer subfields of Malcev-Neumann division algebras. Israel J. Math. 50, 114–144 (1985). https://doi.org/10.1007/BF02761120

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  • DOI: https://doi.org/10.1007/BF02761120

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