English

Classification of simple quandles of small order

Group Theory 2025-02-28 v2

Abstract

In this article, we define quasiprimitive quandles and describe them with the help of quasiprimitive permutation groups. As a consequence, we enumerate finite non-affine simple quandles up to order 40964096.

Keywords

Cite

@article{arxiv.2501.06791,
  title  = {Classification of simple quandles of small order},
  author = {Dilpreet Kaur and Pushpendra Singh},
  journal= {arXiv preprint arXiv:2501.06791},
  year   = {2025}
}

Comments

v1 extended to simple quandles