David Stanovsk√Ĺ
Medial quasigroups of prime square order

Comment.Math.Univ.Carolin. 57,4 (2016) 585-590.

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