LIP6 2000/025

• Reports
  La methode de Hacque et la methode de GI complete pour le calcul du groupe de Galois
• I. Abdeljaouad, A. Valibouze
• 19 pages - 09/12/2000- document en - http://www.lip6.fr/lip6/reports/2000/lip6.2000.025.ps.gz - 92 Ko
• Contact : Ines.Abdeljaouad (at) nulllip6.fr
• Ancien Thème : CALFOR
We propose two algebraic methods for computing the Galois group of an irreducible polynomial $f$ which we call the Hacque method and the complete GI-method. We combine the Hacque method and the first steps of the complete GI-method to obtain an implementable method which is a new approach for computing the Galois group.
• Keywords : Computer algebra, Galois ideal, Galois theory, linear algebra
• Publisher : David.Massot (at) nulllip6.fr