Generic polynomials are descent-generic

被引：21

作者：

Kemper, G ^{[1
]}

机构：

[1] Univ Heidelberg, IWR, D-69120 Heidelberg, Germany

来源：

MANUSCRIPTA MATHEMATICA | 2001年 / 105卷 / 01期

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

页码：139 / 141

页数：3

共 6 条

[1] Galois embeddings for linear groups [J].