Réalisation régulière explicite des groupes abéliens finis comme groupes de Galois

✍ Scribed by Lionel Ducos

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 167 KB
• Volume: 74
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1006/jnth.1998.2310

✦ Synopsis

It is well known that certain polynomials have an Abelian group as Galois group over rational function fields k(t) with characteristic not dividing the order of this group. Moreover, it is possible to realize all Abelian groups over k(t) in the fields k((t)). In this paper, we construct and calculate such polynomials.