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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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