Multi-parameter Polynomials with Given Galois Group

✍ Scribed by Gunter Malle

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 282 KB
• Volume: 30
• Category: Article
• ISSN: 0747-7171
• DOI: 10.1006/jsco.2000.0379

✦ Synopsis

We present a collection of multi-parameter polynomials for several mostly non-solvable permutation groups of small degree and describe their construction. As an application we are able to obtain totally real number fields with these Galois groups over the rationals, for example for the two small Mathieu groups M 11 and M 12 .