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      Central and medial quasigroups of small order

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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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          1511.03534

          Algebra

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