Author

Rebecca Funke

Date of Award

2016

Document Type

Thesis

Degree Name

Bachelor of Science

Department

Mathematics

Abstract

This thesis explores the use of difference sets to partition algebraic groups. Difference sets are a tool belonging to both group theory and combinatorics that provide symmetric properties that can be map into over mathematical fields such as design theory or coding theory. In my work, I will be taking algebraic groups and partitioning them into a subgroup and multiple McFarland difference sets. This partitioning can then be mapped to an association scheme. This bridge between difference sets and association schemes have important contributions to coding theory.

Included in

Mathematics Commons

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