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Non-affine latin quandles of order $2^k$
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classification
math.GR
keywords
latinnon-affineorderquandlesaffinecentralconstructiondistributive
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 $k \geq 8$. The construction is expressed in terms of central extensions of affine quandles.
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