paper

Matrices and Finite Quandles

arXiv:math/0412417

Abstract

Finite quandles with n elements can be represented as n-by-n matrices. We show how to use these matrices to distinguish all isomorphism classes of finite quandles for a given cardinality n, as well as how to compute the automorphism group of each finite quandle. As an application, we classify finite quandles with up to 5 elements and compute the automorphism group for each quandle.

12 pages, informal undergraduate research. Published version includes some updates and new references

Matrices and Finite Quandles · wovepaper