Abstract:The automorphisms of a quasigroup or Latin square are permutations of the set of entries of the square, and thus belong to conjugacy classes in symmetric groups. These conjugacy classes may be recognized as being annihilated by symmetric group class functions that belong to a
\lambda
-ideal of the special
\lambda
-ring of symmetric group class functions.
Keywords: Latin square, quasigroup, automorphism,
\lambda
-ring
AMS Subject Classification: 05B15 19A22 20N05