Date of Award
5-30-2010
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Science
Department
Mathematics
First Thesis Advisor
Michael Orrison
Second Thesis Advisor
Anna Bargagliotti
Rights Information
© 2010 Stephen C. Lee
Terms of Use & License Information
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.
Recommended Citation
Lee, Stephen C., "Understanding Voting for Committees Using Wreath Products" (2010). HMC Senior Theses. Paper 23.
http://scholarship.claremont.edu/hmc_theses/23
COinS
Comments
Previously linked to as: http://ccdl.libraries.claremont.edu/u?/stc,337