On the Structure of Hom Quandles
Geometric Topology
2018-08-07 v1 Group Theory
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.
Keywords
Cite
@article{arxiv.1808.01738,
title = {On the Structure of Hom Quandles},
author = {Marco Bonatto and Alissa S. Crans and Glen T. Whitney},
journal= {arXiv preprint arXiv:1808.01738},
year = {2018}
}