Profinite groups
Prerequisites
Suggested audience: IV and V year students.
Prerequisites: Theory of finite groups, till the existence and properties of Sylow subgroups. Elements of general topology. Galois theory of finite extensions
Programme
Profinite sets, and their topology. Profinite groups. Infinite Galois extensions. Cohomology of discrete and profinite groups. Arithmetic applications.
Educational aims
Teaching the theory of profinite groups.
Bibliographical references
J.P. Serre, Galois Cohomology, Springer Verlag