Graduation Year

2011

Document Type

Thesis

Degree

M.A.

Degree Granting Department

Mathematics and Statistics

Major Professor

Mohamed Elhamdadi

Keywords

conjugation, dihedral group, inner automorphism group, knot theory, Reidmeister moves

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.

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