Medial quasigroups of prime square order

Commentationes mathematicae Universitatis Carolinae

David Stanovský¹ 

关键词: medial quasigroup;    quasigroup affine over abelian group;    classification of quasigroups;    enumeration of quasigroups;   

DOI  :  10.14712/1213-7243.2015.181

学科分类：物理化学和理论化学

来源: Univerzita Karlova v Praze * Matematicko-Fyzikalni Fakulta / Charles University in Prague, Faculty of Mathematics and Physics

【 摘 要 】

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.

【 授权许可】

CC BY