Generic polynomials are descent-generic

被引:21
|
作者
Kemper, G [1 ]
机构
[1] Univ Heidelberg, IWR, D-69120 Heidelberg, Germany
关键词
Mathematics Subject Classification (2000): 12F10, 12F12;
D O I
10.1007/s002290170015
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let g(X) is an element of K(t(l),...,t(m))[X] 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 less than or equal to 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.
引用
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页码:139 / 141
页数:3
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