Abstract: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.
Keywords: medial quasigroup; quasigroup affine over abelian group; classification of quasigroups; enumeration of quasigroups
DOI: DOI 10.14712/1213-7243.2015.181
AMS Subject Classification: 20N05 05A15