Degree Granting Department
Mathematics and Statistics
conjugation, dihedral group, inner automorphism group, knot theory, Reidmeister moves
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). Graduate Theses and Dissertations.