Central and medial quasigroups of small order

zbMATH Open1349.20075arXiv1511.03534MaRDI QIDQ2833442

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Publication date: 18 November 2016

Published in: (Search for Journal in Brave)

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 $C_{4}imes{C}_2^4$, $C_2^6$, $C_3^4$ or $C_5^3$. We give an explicit formula for the number of quasigroups that are affine over a finite cyclic group.

Full work available at URL: https://arxiv.org/abs/1511.03534

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