On the Structure of Hom Quandles

Marco Bonatto; Alissa S. Crans; Glen T. Whitney

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arXiv · 1808.01738

On the Structure of Hom Quandles

Marco Bonatto·Alissa S. Crans·Glen T. Whitney

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Abstract

We continue the study of the quandle of homomorphisms into a medial quandle begun in Crans and Nelson. We show that it suffices to consider only medial source quandles, and therefore the structure theorem of Jedlicka et al. provides a characterization of the Hom quandle. In the particular case when the target is 2-reductive this characterization takes on a simple form that makes it easy to count and determine the structure of the Hom quandle.

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Marco Bonatto, Alissa S. Crans, Glen T. Whitney. 2018-08-06. On the Structure of Hom Quandles. https://arxiv.org/abs/1808.01738

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