Central and medial quasigroups of small order

2015/11/11 by David Stanovský, Stanovský, David, Petr Vojtěchovský +1 · 1 citation
Engineering · Mathematics · #05A15 #20N05 #Advanced Combinatorial Mathematics #FOS: Mathematics #G.2.1 #Group Theory (math.GR) #I.1.2 #Mathematics and Applications #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.1511.03534

openalex publication_date 2015/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 C₄× C₂⁴, C₂⁶, C₃⁴ or C₅³. We give an explicit formula for the number of quasigroups that are affine over a finite cyclic group.

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