The relationship between group representations and group structure

A téma kiírójának neve és tanszéke: 
Hegedüs Pál, Algebra Tanszék
A téma kiírójának e-mail címe:
TDK téma
Szakdolgozat téma
Diplomamunka téma
PhD téma

What is the relationship between the properties of the representations of a finite group and the structure of the group? The simplest relationship: A group is commutative exactly when all its irreducible characters are of degree 1. We are looking for generalizations and versions of this.


For a BSc thesis we expect a survey of the important results in a simple aspect of the problem.

For a MSc thesis we expect a fuller survey and a discussion of underlying interconnections.

For a TDK submission we expect a deep understanding or reinterpretation of an aspect of the problem.

For a PhD thesis we expect an active push in a direction or a radically new reinterpretation of a larger area.