- Computer Science Laboratory Sorbonne Université - CNRS UMR 7606
Sorbonne Universté
Centre National de la Recherche Scientifique

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LIP6 2006/002

  • Informes de investigación «Un nouvel outil pour calculer les groupes et idéaux de Galois et factoriser les polynômes dans des extensions algébriques»
  • S. Orange, G. Renault, A. Valibouze
  • 127 pages - 22/02/2005 - document en - http://www.lip6.fr/lip6/reports/2006/lip6-2006-002.pdf 908 Ko
  • Contacto Jean-Charles.Faugere (at) nulllip6.fr
  • EquipoSPIRAL
    • In this paper, we study some relations between univariate polynomials and their Galois group. There are presented in the form of tables, called "splitting tables". We show how these tables occur in factorizations over algebraic extensions, in the determination of Galois groups, in the computation of roots field and in computation of polynomials with given Galois group and coefficients in a number field.