The course is a continuation of "Lineare Algebra 1" and "Lineare Algebra 2". Its topic, broadly, is "Groups, rings, fields". In particular, we will try to cover

- Group theory: group actions; Sylow theorems, solvable and nilpotent groups
- Linear representations of groups
- Ring theory
- Field extensions and Galois groups

A good reference is Michael Artin's "Algebra" book.

The assistant for the course is Leon Pernak, and the tutor is Robin Lahni.