Homology, Homotopy and Applications

Matrices and finite quandles

Benita Ho and Sam Nelson

Full-text: Open access

Abstract

Finite quandles with n elements can be represented as n x 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.

Article information

Source
Homology Homotopy Appl., Volume 7, Number 1 (2005), 197-208.

Dates
First available in Project Euclid: 13 February 2006

Permanent link to this document
https://projecteuclid.org/euclid.hha/1139839513

Mathematical Reviews number (MathSciNet)
MR2175299

Zentralblatt MATH identifier
1102.57008

Subjects
Primary: 20Nxx: Other generalizations of groups
Secondary: 57M27: Invariants of knots and 3-manifolds

Citation

Ho, Benita; Nelson, Sam. Matrices and finite quandles. Homology Homotopy Appl. 7 (2005), no. 1, 197--208. https://projecteuclid.org/euclid.hha/1139839513


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