Graduation Year
2011
Document Type
Thesis
Degree
M.A.
Degree Granting Department
Mathematics and Statistics
Major Professor
Mohamed Elhamdadi, Ph.D.
Committee Member
Brian Curtin, Ph.D.
Committee Member
Masahiko Saito, Ph.D.
Keywords
inner automorphism group, knot theory, dihedral group, Reidmeister moves, conjugation
Abstract
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.
https://digitalcommons.usf.edu/etd/3226
