English

A guide to self-distributive quasigroups, or latin quandles

Group Theory 2015-09-28 v2

Abstract

We present an overview of the theory of self-distributive quasigroups, both in the two-sided and one-sided cases, and relate the older results to the modern theory of quandles, to which self-distributive quasigroups are a special case. Most attention is paid to the representation results (loop isotopy, linear representation, homogeneous representation), as the main tool to investigate self-distributive quasigroups.

Keywords

Cite

@article{arxiv.1505.06609,
  title  = {A guide to self-distributive quasigroups, or latin quandles},
  author = {David Stanovský},
  journal= {arXiv preprint arXiv:1505.06609},
  year   = {2015}
}