Profinite groups

Period of duration of course
‌‌
Course info
Number of course hours
40
Number of hours of lecturers of reference
40
Number of hours of supplementary teaching
0
CFU 6
‌‌

Modalità esame

Oral exam

Lecturer

View lecturer details

Prerequisiti

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

Programma

Profinite sets, and their topology. Profinite groups. Infinite Galois extensions. Cohomology of discrete and profinite groups. Arithmetic applications.

Obiettivi formativi

Teaching the theory of profinite groups.

Riferimenti bibliografici

J.P. Serre, Galois Cohomology, Springer Verlag