Stephen C. Lee
- Michael Orrison
- Second Reader(s)
- Anna Bargagliotti (U. Memphis)
In this thesis, we construct an algebraic framework for analyzing committee elections. In this framework, module homomorphisms are used to model positional voting procedures. Using the action of the wreath product group $S_2[S_n]$ on these modules, we obtain module decompositions which help us to gain an understanding of the module homomorphism. We use these decompositions to construct some interesting voting paradoxes.