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Le problème inverse de Galois sur les corps des fractions tordus à indéterminée centrale

Abstract : In this article, we show that, if $H$ denotes a finite dimensional field over its center $k$ and if $k$ contains an ample field, then the traditional inverse Galois problem has a positive answer over the skew field $H(t)$ of rational fractions with central indeterminate.
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Submitted on : Monday, March 7, 2022 - 1:53:47 PM
Last modification on : Thursday, March 31, 2022 - 5:58:02 PM
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Distributed under a Creative Commons Attribution - NonCommercial 4.0 International License

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  • HAL Id : hal-02141890, version 1
  • ARXIV : 1903.11046
  • PII : S0022-4049(19)30253-1

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Bruno Deschamps, François Legrand. Le problème inverse de Galois sur les corps des fractions tordus à indéterminée centrale. Journal of Pure and Applied Algebra, Elsevier, A paraître. ⟨hal-02141890⟩

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