no. 7
Théorie des nombres
Galois groups over rational function fields over skew fields
Alon, Gil1 ; Legrand, François2 ; Paran, Elad1 
1 Department of Mathematics and Computer Science, the Open University of Israel, Ra’anana 4353701, Israel
2 Institut für Algebra, Fachrichtung Mathematik, TU Dresden, 01062 Dresden, Germany
Comptes Rendus. Mathématique, Tome 358 (2020) no. 7, pp. 785-790.

Soit H un corps gauche de dimension finie sur son centre k. Nous résolvons le Problème Inverse de Galois sur le corps des fractions H(X) de l’anneau des fonctions polynomiales en la variable X et à coefficients dans H, si k contient un corps ample.

Let H be a skew field of finite dimension over its center k. We solve the Inverse Galois Problem over the field of fractions H(X) of the ring of polynomial functions over H in the variable X, if k contains an ample field.

Reçu le :
Accepté le :
Publié le :
DOI : 10.5802/crmath.20
Alon, Gil 1 ; Legrand, François 2 ; Paran, Elad 1

1 Department of Mathematics and Computer Science, the Open University of Israel, Ra’anana 4353701, Israel
2 Institut für Algebra, Fachrichtung Mathematik, TU Dresden, 01062 Dresden, Germany 
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Alon, Gil; Legrand, François; Paran, Elad. Galois groups over rational function fields over skew fields. Comptes Rendus. Mathématique, Tome 358 (2020) no. 7, pp. 785-790. doi : 10.5802/crmath.20. http://www.numdam.org/articles/10.5802/crmath.20/

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