Document Type
Report
Publication Date
4-27-2024
Faculty Adviser
David Roberts
Abstract
In this paper we give a brief introduction to the representation theory of finite groups, and by extension character theory. These tools are extensions of group theory into linear algebra, that can then be applied back to group theory to prove propositions that are based entirely in group theory. We discuss the importance of simple groups and the Jordan-Hölder theorem in order to prepare for the statement of Burnside’s pq theorem. Lastly, we provide a proof of Burnside’s theorem that utilizes the character theory we covered earlier in the paper.
Recommended Citation
Fronk, Nathan, "Representation Theory and Burnside's Theorem" (2024). Senior Seminars and Capstones. 9.
https://digitalcommons.morris.umn.edu/capstone/9
Primo Type
Text Resource