Symbolic computation with finite quandles

Richard Henderson; Todd Macedo; Sam Nelson

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Symbolic computation with finite quandles

Richard Henderson·Todd Macedo·Sam Nelson

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Abstract

Algorithms are described and Maple implementations are provided for finding all quandles of order $n$, as well as computing all homomorphisms between two finite quandles or from a finitely presented quandle (e.g., a knot quandle) to a finite quandle, computing the automorphism group of a finite quandle, etc. Several of these programs work for arbitrary binary operation tables and hence algebraic structures other than quandles. We also include a stand-alone C program which finds quandles of order $n$ and provide URLs for files containing the results for $n=6,$ 7 and 8.

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BibTeX RIS

Richard Henderson, Todd Macedo, Sam Nelson. 2006-04-18. Symbolic computation with finite quandles. https://arxiv.org/abs/math/0508351

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