Non-affine latin quandles of order 2^k

2019/09/18 by Nagy, Tomáš
#05A15 #20N05 #57M27 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1909.08683

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 ≥ 8. The construction is expressed in terms of central extensions of affine quandles.

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