Generic polynomials are descent-generic |
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| Authors: | Gregor Kemper |
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| Institution: | IWR, Universit?t Heidelberg, Im Neuenheimer Feld 368, 69120 Heidelberg, Germany. e-mail: Gregor.Kemper@iwr.uni-heidelberg.de, DE
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| 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.
Received: 15 January 2001 |
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| Keywords: | Mathematics Subject Classification (2000): 12F10 12F12 |
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