English

Homomorphic images of affine quandles

Group Theory 2020-06-11 v1

Abstract

We are interested in abstract conditions that characterize homomorphic images of affine quandles. Our main result is a two-fold characterization of this class: one by a property of the displacement group, the other one by a property of the corresponding affine mesh. As a consequence, we obtain efficient algorithms for recognizing homomorphic images of affine quandles, including an efficient explicit construction of the covering affine quandle.

Keywords

Cite

@article{arxiv.2006.05946,
  title  = {Homomorphic images of affine quandles},
  author = {Přemysl Jedlička and David Stanovský},
  journal= {arXiv preprint arXiv:2006.05946},
  year   = {2020}
}