Date of Award
5-2024
Degree Type
Thesis
Degree Name
Bachelor of Science
Department
Mathematics
First Advisor
Blake Mellor
Abstract
Every oriented knot has an associated fundamental quandle. Except in two simple cases, these quandles have infinite order. For every integer n>1, there is a quotient of the fundamental quandle called the n-quandle of the knot. In some cases, these n-quandles may be finite. In the case of the M(1/2,1/3,1/3; k) Montesino knot family, the 2-quandle is finite. In this paper, we investigate the structure of the 2-quandle and prove its size.
Recommended Citation
Abrams, Alex, "Fundamental 2-quandles of the M(1/2, 1/3, 1/3; k) Montesino Knots" (2024). Mathematics Theses. 1.
https://digitalcommons.lmu.edu/math_thesis/1
