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Central and medial quasigroups of small order

Publication at Faculty of Mathematics and Physics |
2016

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 xC 4 2 , C 6 2 , C 4 3 or C 3 5. We give an explicit formula for the number of quasigroups that are affine over a finite cyclic group.