Solvability by radicals

Rodney Coleman (1) , Laurent Zwald (2)

1 CASC - Calcul Algébrique et Symbolique, Sécurité, Systèmes Complexes, Codes et Cryptologie
2 SVH - Statistique pour le Vivant et l’Homme

In this note we present one of the fundamental theorems of algebra, namely Galois's theorem concerning the solution of polynomial equations. We will begin with a study of cyclic extensions, before moving onto radical extensions.

Domaines: Théorie des groupes [math.GR]

Rodney Coleman, Laurent Zwald. Solvability by radicals. 2020. ⟨hal-03066602⟩