250464 VO Representation theory of finite groups (2006W)

Representation theory of finite groups is concerned with the classification (up to aquivalence) of all homomorphisms of a finite group G to the group GL(V,K) of all automorphisms of a finite dimensional vector space V over the field K. Aquivalently, this is the classification (up to isomorphy) of all KG-module structures on V (KG the complete group algebra over K). The basics of the theory will be developed and some applications to structure theory of finite groups will be also given.

Knowledge of Linear Algebra 1,2, Algebra 1 and Group Theory will be required, but knowledge of Module Theory will be not required.