Let be a skew field of finite dimension over its center . We solve the Inverse Galois Problem over the field of fractions of the ring of polynomial functions over in the variable , if contains an ample field.
Soit un corps gauche de dimension finie sur son centre . Nous résolvons le Problème Inverse de Galois sur le corps des fractions de l’anneau des fonctions polynomiales en la variable et à coefficients dans , si contient un corps ample.
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Gil Alon 1; François Legrand 2; Elad Paran 1
@article{CRMATH_2020__358_7_785_0, author = {Gil Alon and Fran\c{c}ois Legrand and Elad Paran}, title = {Galois groups over rational function fields over skew fields}, journal = {Comptes Rendus. Math\'ematique}, pages = {785--790}, publisher = {Acad\'emie des sciences, Paris}, volume = {358}, number = {7}, year = {2020}, doi = {10.5802/crmath.20}, language = {en}, }
TY - JOUR AU - Gil Alon AU - François Legrand AU - Elad Paran TI - Galois groups over rational function fields over skew fields JO - Comptes Rendus. Mathématique PY - 2020 SP - 785 EP - 790 VL - 358 IS - 7 PB - Académie des sciences, Paris DO - 10.5802/crmath.20 LA - en ID - CRMATH_2020__358_7_785_0 ER -
Gil Alon; François Legrand; Elad Paran. Galois groups over rational function fields over skew fields. Comptes Rendus. Mathématique, Volume 358 (2020) no. 7, pp. 785-790. doi : 10.5802/crmath.20. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.20/
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