Abstract:
We suggest a method of construction of orthogonal quasigroups systems and orthogonal Latin squares by means of Frobenius groups. It is proved that this method generalizes many (but not all) existing methods of orthogonal Latin squares construction by means of groups.
Key words:quasigroup, Latin square, system of orthogonal quasigroups, orthogonal Latin squares, regular set of permutations, regular automorphism of a group.
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