Cycle structure of autotopisms of quasigroups and Latin squares

Douglas S. Stones, Petr Vojtěchovský, Ian M. Wanless

An autotopism of a Latin square is a triple $(\alpha ,\beta ,\gamma )$ of permutations such that the Latin square is mapped to itself by permuting its rows by $\alpha$, columns by $\beta$, and symbols by $γ…