RATIONALITY FOR SUBGROUPS OF S6

被引：2

作者：

Zhou, Jian ^{[1
]}

机构：

[1] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2015年 / 43卷 / 07期

关键词：

Generic polynomial; Noether's problem; Rationality; Symmetric group; GENERIC POLYNOMIALS; NOETHER PROBLEM; FIELD;

D O I：

10.1080/00927872.2014.888565

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a transitive subgroup G <= S-6 which contain C-3 x C-3 as subgroup, we prove that K(x(1), ... , x(6))(G) is rational over K, where K is any field, and G acts naturally on K(x(1), ... , x(6)) by permutations on the variables. We also give an application on construction of generic polynomials.

引用

页码：2724 / 2738

页数：15

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