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arXiv · 2303.15815

Quandles with one non-trivial column

Nicholas Cazet
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Abstract

The axioms of a quandle imply that the columns of its Cayley table are permutations. This paper studies quandles with exactly one non-trivially permuted column. Their automorphism groups, quandle polynomials, (symmetric) cohomology groups, and $Hom$ quandles are studied. The quiver and cocycle invariant of links using these quandles are shown to relate to linking number.

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Nicholas Cazet. 2023-03-28. Quandles with one non-trivial column. https://arxiv.org/abs/2303.15815

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