La Résolvante de Lagrange et ses Applications

Annick Valibouze (1, 2)

1 LSTA - Laboratoire de Statistique Théorique et Appliquée
2 APR - Algorithmes, Programmes et Résolution

In this paper, the changes of representations of a group are used in order to describe its action as algebraic Galois group of an univariate polynomial on the roots of factors of any Lagrange resolvent. By this way, the Galois group of resolvent factors are pre-determinated. In follows, different applications are exposed; in particular, some classical results of algebraic Galois theory.

Mots clés: Matrices de Partitions et de Groupes. Théorie de Galois; Résolvantes; Factorisation de polynômes; Groupe de Galois

Domaines: Calcul formel [cs.SC]

Annick Valibouze. La Résolvante de Lagrange et ses Applications. 2008. ⟨hal-00376921⟩