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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.
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页码:139 / 141
页数:3
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