Basic results on discrete valuation rings, Dedekind domains, and completions.-
Ramification theory: discriminant, different, ramification subgroups, Hasse-Arf theorem, Artin representations.-
Group cohomology, with emphasis on arithmetical applications: theorems of Tate and Nakayama, Galois cohomology, class formations.-
Local class field theory, presented from the cohomological point of view. The main result is the determination of the topological Galois group of the maximal abelian extension.