Understanding Voting for Committees Using Wreath Products

Author

Stephen C. Lee, Harvey Mudd CollegeFollow

Graduation Year

2010

Document Type

Open Access Senior Thesis

Degree Name

Bachelor of Science

Department

Mathematics

Reader 1

Michael Orrison

Reader 2

Anna Bargagliotti

Terms of Use & License Information

Terms of Use for work posted in Scholarship@Claremont.

Rights Information

© 2010 Stephen C. Lee

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 S2[Sn] 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.

Comments

Previously linked to as: http://ccdl.libraries.claremont.edu/u?/stc,337

Recommended Citation

Lee, Stephen C., "Understanding Voting for Committees Using Wreath Products" (2010). HMC Senior Theses. 23.
https://scholarship.claremont.edu/hmc_theses/23