Every finite group gives rise to an association scheme called the conjugacy class scheme of the group. This MQP works out both the combinatorics and the ring theory of the conjugacy class schemes of all dihedral groups. We show how the eigenvalues and Krein parameters of the Bose-Mesner algebra are related to the character theory and irreducible representations of the group. We also explore examples of Delsarte designs.

• This report represents the work of one or more WPI undergraduate students submitted to the faculty as evidence of completion of a degree requirement. WPI routinely publishes these reports on its website without editorial or peer review.

Creator

• Brodeur, Benjaminh

Publisher

• Worcester Polytechnic Institute

Identifier

• E-project-080624-120723
• 123784

Mot-clé

• t-design
• association scheme
• group theory3
• dihedral group

Advisor

• Martin, William J.

Year

• 2024

Date created

• 2024-08-06

Resource type

• Major Qualifying Project

Major

• Mathematical Sciences

Source

• E-project-080624-120723

Rights statement

• In Copyright

Dernière modification

• 2024-09-20