Galois groups over rational function fields over skew fields

Gil Alon, François Legrand, Elad Paran

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)785-790
Number of pages6
JournalComptes Rendus Mathematique
Issue number7
StatePublished - 2020

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© Académie des sciences, Paris and the authors, 2020. Some rights reserved.


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