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Stephen C. Lee

Picture of Stephen C. Lee.

Thesis

Understanding Voting for Committees Using Wreath Products

Advisor
Michael Orrison
Second Reader(s)
Anna Bargagliotti (U. Memphis)

Abstract

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.

Proposal

Studying Voting for Committees Using Wreath Products

Additional Materials

Poster