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Nonaffine latin quandles of order $2^{k}$

Tomáš Nagy

Department of Algebra, Faculty of Mathematics and Physics, Charles University, Sokolovská 83, Prague 18675, Czech Republic

E-mail Address: tomas.nagy@email.com

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https://doi.org/10.1142/S0219498821501036Cited by:1 (Source: Crossref)

Abstract

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

Communicated by M. L. Lewis

Keywords:

AMSC: 20N05, 05A15, 57M27

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