This course aims to give a second introduction to group theory for Bachelor students in their last year and for Master students. The subject is the same as in the course “Algebra 1” but the methods will be more advanced. We will address several major results in group theory, such as the theorem of Feit and Thompson that all finite groups of odd order are solvable and the classification of finite simple groups. The emphasis of the course is on acquiring a toolkit of techniques that are useful in applications of group theory in algebra, for instance through Galois theory, and to geometry, for instance via fundamental groups. Prerequisites: Algebra 1, 2, 3
Hours/week
2