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arxiv: 1505.06609 · v2 · pith:UASPBUO7new · submitted 2015-05-25 · 🧮 math.GR

A guide to self-distributive quasigroups, or latin quandles

classification 🧮 math.GR
keywords quasigroupsself-distributiverepresentationquandlesresultstheoryattentioncase
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We present an overview of the theory of self-distributive quasigroups, both in the two-sided and one-sided cases, and relate the older results to the modern theory of quandles, to which self-distributive quasigroups are a special case. Most attention is paid to the representation results (loop isotopy, linear representation, homogeneous representation), as the main tool to investigate self-distributive quasigroups.

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