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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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###### Journal
1511.03534

Algebra