GENERIC PICARD-VESSIOT EXTENSIONS FOR NONCONNECTED GROUPS

被引：1

作者：

Juan, Lourdes ^{[1
]}

Ledet, Arne ^{[1
]}

机构：

[1] Texas Tech Univ, Dept Math & Stat, Box 41042, Lubbock, TX 79409 USA

来源：

COMMUNICATIONS IN ALGEBRA | 2016年 / 44卷 / 07期

关键词：

Differential; Galois; Generic; Torsors; FIELDS;

D O I：

10.1080/00927872.2015.1065862

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let K be a differential field with algebraically closed field of constants C and G a linear algebraic group over C. We provide a characterization of the K-irreducible G-torsors for nonconnected groups G in terms of the first Galois cohomology H-1(K, G) and use it to construct Picard-Vessiot extensions which correspond to nontrivial torsors for the infinite quaternion group, the infinite multiplicative and additive dihedral groups and the orthogonal groups. The extensions so constructed are generic for those groups.

引用

页码：2989 / 3004

页数：16

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