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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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⟩