Geodesic
Automorphism Groups of Algebras of Finite Type
Canadian journal of mathematics, Tome 24 (1972) no. 6, pp. 1065-1069

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

By “algebra” we shall mean a finitary universal algebra, that is, a pair 〈A; F〉 where A and F are nonvoid sets and every element of F is a function, defined on A, of some finite number of variables. Armbrust and Schmidt showed in [1] that for any finite nonvoid set A, every group G of permutations of A is the automorphism group of an algebra defined on A and having only one operation, whose rank is the cardinality of A. In [6], Jónsson gave a necessary and sufficient condition for a given permutation group to be the automorphism group of an algebra, whereupon Plonka [8] modified Jonsson's condition to characterize the automorphism groups of algebras whose operations have ranks not exceeding a prescribed bound. 
Gould, Matthew. Automorphism Groups of Algebras of Finite Type. Canadian journal of mathematics, Tome 24 (1972) no. 6, pp. 1065-1069. doi: 10.4153/CJM-1972-109-0
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[1] 1. Armbrust, M. and Schmidt, J., Zum Cayleyschen Darstellungssatz, Math. Ann. 154 (1964), 70–73. Google Scholar

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