Generic polynomials are descent-generic
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- Kemper, G. manuscripta math. (2001) 105: 139. doi:10.1007/s002290170015
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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.