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

Abstract

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

arXiv commentto appear in Journal of Algebra and its Applications