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arXiv · 1511.03534

Central and medial quasigroups of small order

David Stanovský·Petr Vojtěchovský
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Abstract

We enumerate central and medial quasigroups of order less than $128$ up to isomorphism, with the exception of those quasigroups that are isotopic to $C_4\times C_2^4$, $C_2^6$, $C_3^4$ or $C_5^3$. We give an explicit formula for the number of quasigroups that are affine over a finite cyclic group.

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David Stanovský, Petr Vojtěchovský. 2016-07-15. Central and medial quasigroups of small order. https://arxiv.org/abs/1511.03534

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