Homology, Homotopy and Applications

Volume 7 (2005)

Number 1

Matrices and finite quandles

Pages: 197 – 208

DOI: http://dx.doi.org/10.4310/HHA.2005.v7.n1.a11

Authors

Benita Ho (University of California at Riverside)

Sam Nelson (University of California at Riverside)

Abstract

Finite quandles with $n$ elements can be represented as $n × n$ 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.

Keywords

finite quandles

2010 Mathematics Subject Classification

57M27

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