Harzelli, Mohamed RafikEncadreur: Ladjelat, Lahcene2022-07-202022-07-202022-06-10http://dspace.univ-msila.dz:8080//xmlui/handle/123456789/30875The purpose of this work is to provide an introduction to Galois extension of a field and some of its applications: the solvability of equations by radicals. To achieve this purpose the work is divided into three chapters : summaries from the field theory, Galois extension and application to solvability of equations by radicals.enfield extension, Galois extension, solvable group, solvable equation by radicals.Thesis