Understanding Voting for Committees Using Wreath Products
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 a...
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Scholarship @ Claremont
2010
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ndltd-CLAREMONT-oai-scholarship.claremont.edu-hmc_theses-10232019-10-16T03:06:13Z Understanding Voting for Committees Using Wreath Products Lee, Stephen C. 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. 2010-05-30T07:00:00Z text application/pdf https://scholarship.claremont.edu/hmc_theses/23 https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1023&context=hmc_theses © 2010 Stephen C. Lee default HMC Senior Theses Scholarship @ Claremont Elections Wreath products (Group theory) Voting systems Mathematics Physical Sciences and Mathematics |
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Others
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Elections Wreath products (Group theory) Voting systems Mathematics Physical Sciences and Mathematics |
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Elections Wreath products (Group theory) Voting systems Mathematics Physical Sciences and Mathematics Lee, Stephen C. Understanding Voting for Committees Using Wreath Products |
| description |
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. |
| author |
Lee, Stephen C. |
| author_facet |
Lee, Stephen C. |
| author_sort |
Lee, Stephen C. |
| title |
Understanding Voting for Committees Using Wreath Products |
| title_short |
Understanding Voting for Committees Using Wreath Products |
| title_full |
Understanding Voting for Committees Using Wreath Products |
| title_fullStr |
Understanding Voting for Committees Using Wreath Products |
| title_full_unstemmed |
Understanding Voting for Committees Using Wreath Products |
| title_sort |
understanding voting for committees using wreath products |
| publisher |
Scholarship @ Claremont |
| publishDate |
2010 |
| url |
https://scholarship.claremont.edu/hmc_theses/23 https://scholarship.claremont.edu/cgi/viewcontent.cgi?article=1023&context=hmc_theses |
| work_keys_str_mv |
AT leestephenc understandingvotingforcommitteesusingwreathproducts |
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