Galois theory and profinite groups (part 3/8)
Appears in collection : Peter Stevenhagen, Indah Wijayanti: Galois theory and profinite groups
Cyclotomic extensions, radical extensions, solvable extensions. Solvable groups and the insolubility of the general quintic.Separability and normality of field extensions. Finite Galois theory. The fundamental theorem of Galois theory. Explicit examples of Galois extensions.
