3 papers
math.NT2020
Problèmes de plongement finis sur les corps non commutatifs
Angelot Behajaina, Bruno Deschamps, François Legrand
We extend finite embedding problems over fields, a central notion in inverse Galois theory, to the situation of a skew field of finite dimension over its center . First, we…
math.NT2019
Le problème inverse de Galois sur les corps des fractions tordus à indéterminée centrale
Bruno Deschamps, François Legrand
In this article, we show that the Inverse Galois Problem over a skew field of finite dimension over its center is equivalent to a variant of the Inverse Galois Problem over…
math.NT2018
A propos d'une version faible du problème inverse de Galois
Bruno Deschamps, François Legrand
This paper deals with the Weak Inverse Galois Problem which, for a given field , states that, for every finite group , there exists a finite separable extension such th…