Generic polynomials are descent-generic
- Cite this article as:
- Kemper, G. manuscripta math. (2001) 105: 139. doi:10.1007/s002290170015
Let \(\) be a generic polynomial for a group G in the sense that every Galois extension N/L of infinite fields with group G and K≤L is given by a specialization of g(X). We prove that then also every Galois extension whose group is a subgroup of G is given in this way.