manuscripta mathematica

, Volume 105, Issue 1, pp 139–141

Generic polynomials are descent-generic

Authors

  • Gregor Kemper
    • IWR, Universität Heidelberg, Im Neuenheimer Feld 368, 69120 Heidelberg, Germany. e-mail: Gregor.Kemper@iwr.uni-heidelberg.de

DOI: 10.1007/s002290170015

Cite this article as:
Kemper, G. manuscripta math. (2001) 105: 139. doi:10.1007/s002290170015

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 KL 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.

Mathematics Subject Classification (2000): 12F10, 12F12
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© Springer-Verlag Berlin Heidelberg 2001