Benita Ho, Sam Nelson
Published 2004-12-20, updated 2005-11-10Version 3
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.
Comments: 12 pages, informal undergraduate research. Published version includes some updates and new references
Journal: Homology, Homotopy and Applications, Vol. 7 (2005), No. 1, pp.197-208
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