English

Non-affine latin quandles of order $2^k$

Group Theory 2020-02-28 v2

Abstract

We prove that a non-affine latin quandle (also known as left distributive quasigroup) of order 2k2^k exists if and only if k=6k = 6 or k8k \geq 8. The construction is expressed in terms of central extensions of affine quandles.

Keywords

Cite

@article{arxiv.1909.08683,
  title  = {Non-affine latin quandles of order $2^k$},
  author = {Tomáš Nagy},
  journal= {arXiv preprint arXiv:1909.08683},
  year   = {2020}
}

Comments

to appear in Journal of Algebra and its Applications