
INTRODUCTION TO GROUP THEORY
Second cycle degree in MATHEMATICS
Campus:
PADOVA
Language:
English
Teaching period:
First Semester
Lecturer:
ANDREA LUCCHINI
Number of ECTS credits allocated:
8
Prerequisites:

Basic knowedges in general algebra 
Examination methods:

Oral. The candidate will be asked to present the most important arguments presented in the course, proving the more signicant results and solving some related exercise. 
Course unit contents:

General introduction to group theory: actions of groups, solvable and nilpotent groups, finitely presented groups. A short history of the classication of finite simple groups. Topological groups, profinite groups (characterizations, profinite completion, countable based pronite groups, arithmetical properties, subgroups of finite index in pronite groups, Galois groups of infinite dimensional extension). Probabilistic methods in group theory. 

