Abstract:
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.
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Received: 15 January 2001
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Kemper, G. Generic polynomials are descent-generic. manuscripta math. 105, 139–141 (2001). https://doi.org/10.1007/s002290170015
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DOI: https://doi.org/10.1007/s002290170015