Degree Granting Department
Mathematics and Statistics
Mohamed Elhamdadi, Ph.D.
Brian Curtin, Ph.D.
Masahiko Saito, Ph.D.
inner automorphism group, knot theory, dihedral group, Reidmeister moves, conjugation
This thesis arose from a desire to better understand the structures of automorphism groups and inner automorphism groups of quandles. We compute and give the structure of the automorphism groups of all dihedral quandles. In their paper Matrices and Finite Quandles, Ho and Nelson found all quandles (up to isomorphism) of orders 3, 4, and 5 and determined their automorphism groups. Here we find the automorphism groups of all quandles of orders 6 and 7. There are, up to isomoprhism, 73 quandles of order 6 and 289 quandles of order 7.
Scholar Commons Citation
Macquarrie, Jennifer, "Automorphism Groups of Quandles" (2011). USF Tampa Graduate Theses and Dissertations.