Matrices and Finite Quandles

Details Matrices and Finite Quandles Matrices and Finite Quandles

2004-12-20

arxiv.org/abs/math/0412417v3

Homology, Homotopy and Applications, Vol. 7 (2005), No. 1, pp.197-208

Mathematics

Geometric Topology

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

Scientific paper

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.

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