Autoparatopisms of Quasigroups and Latin Squares

Mahamendige Jayama Lalani Mendis, Ian M. Wanless

Paratopism is a well known action of the wreath product ${\mathcal{S}}_n\wr {\mathcal{S}}_3$ on Latin squares of order $n$. A paratopism that maps a Latin square to itself is an autopar…