English

Connected quandles of size $pq$ and $4p$

Group Theory 2020-03-17 v2

Abstract

We classify all non-simple connected quandles of size pqpq and 4p4p where p,qp,q are primes, as a special family of locally strictly simple quandles (i.e. quandles for which all proper subquandles are strictly simple). In particular we classify all latin quandles of size pqpq and 4p4p and we show that latin quandles of size 8p8p are affine.

Keywords

Cite

@article{arxiv.1907.07716,
  title  = {Connected quandles of size $pq$ and $4p$},
  author = {Marco Bonatto},
  journal= {arXiv preprint arXiv:1907.07716},
  year   = {2020}
}