Central and medial quasigroups of small order

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.

References in corpus (1)

• A guide to self-distributive quasigroups, or latin quandles

Cited by in corpus (2)

• Inverse property of non-associative abelian extensions
• Distributive and trimedial quasigroups of order 243