Double covers as differential Galois groups (Q2748282)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Double covers as differential Galois groups |
scientific article; zbMATH DE number 1659143
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Double covers as differential Galois groups |
scientific article; zbMATH DE number 1659143 |
Statements
29 November 2001
0 references
Picard-Vessiot extension
0 references
inverse Galois problem
0 references
differential field
0 references
0.9498234
0 references
0.9251547
0 references
0.89858174
0 references
0 references
0 references
0.88440335
0 references
Double covers as differential Galois groups (English)
0 references
Given a polynomial with Galois group \(G = A_4\), \(S_4\) or \(A_5\) over a differential field \(k\) of characteristic 0, an effective construction of a system of linear homogeneous differential equations with Galois group \(2A_4\), \(2S_4\) or \(2A_5\) over the field \(k\) is presented without proofs. NEWLINENEWLINENEWLINEFor the full version see Ann. Inst. Fourier 52, 1017-1025 (2002; Zbl 1017.12005).
0 references
