Some polynomials over Q(t) and their Galois groups

Abstract. Examples of polynomials with Galois group over Q(t) corresponding to every transitive group through degree eight are calculated, constructively demonstrating the existence of an infinity of extensions with each Galois group over Q through degree eight. The methods used, which for the most part have not appeared in print, are briefly discussed.

• Type: Journal
• Year: 2000
• Where: MOC
• Authors: Gene Ward Smith
• Keywords: Galois Group, MOC 2000, Polynomials, Transitive Group