The structure of medial quandles
P\v{r}emysl Jedli\v{c}ka, Agata Pilitowska, David Stanovsk\'y, Anna, Zamojska-Dzienio
TL;DR
This paper explores the structure of medial quandles, revealing their representation through a heterogeneous affine framework and providing enumeration of isomorphism classes for small sizes.
Contribution
It introduces a new affine representation for medial quandles and enumerates their isomorphism classes up to 13 elements, advancing structural understanding.
Findings
Medial quandles can be represented via a heterogeneous affine structure.
Enumeration of medial quandles up to 13 elements is achieved.
Structural properties of medial quandles are derived from this representation.
Abstract
Medial quandles are represented using a heterogeneous affine structure. As a consequence, we obtain numerous structural properties, including enumeration of isomorphism classes of medial quandles up to 13 elements.
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