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Keywords:
medial quasigroup; quasigroup affine over abelian group; classification of quasigroups; enumeration of quasigroups
medial quasigroup; quasigroup affine over abelian group; classification of quasigroups; enumeration of quasigroups
Summary:
We prove that, for any prime $p$, there are precisely $2p^4-p^3-p^2-3p-1$ medial quasigroups of order $p^2$, up to isomorphism.
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