Geodesic
On the Number of Conjugates of N-Ary Ouasigroups
Canadian journal of mathematics, Tome 31 (1979) no. 3, pp. 637-654

Voir la notice de l'article provenant de la source Cambridge University Press

Higher dimensional quasigroups (a set Q with a cancellative, n-ary operation 〈 〉, ([2]) have been studied by T. Evans ([3], [4]), A. Cruse [1], C. C. Lindner ([10], [11]) and also by many others under the guise of magic cubes, Graeco-latin cubes, etc. Conjugates or parastrophes have been discussed by S. K. Stein [18], A. Sade [17] and more recently by C. C. Lindner and D. Steedley in [14], where it is shown that ordinary quasigroups exist of every order ≧ 4 with a prescribed number of distinct conjugates. It is suggested that the problem be extended to n-ary quasigroups. 
McLeish, Mary. On the Number of Conjugates of N-Ary Ouasigroups. Canadian journal of mathematics, Tome 31 (1979) no. 3, pp. 637-654. doi: 10.4153/CJM-1979-064-6
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