Geodesic
A Note on Associative Polyverbal Operations On Groups
Canadian journal of mathematics, Tome 26 (1974) no. 6, pp. 1450-1454

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

In his paper [2] O. N. Golovin introduced the notion of a neutral polyverbal operation on groups, of which Moran's verbal operation [6], and Gruenberg's and Šmel'kin's operations [3 ; 7] are special cases. (Bronštein [1] proved, more generally, that every regular operation for which MacLane's postulate (see [2]) holds and which is invariant under addition of trivial factors, is a neutral polyverbal operation.) 
Macedońska-Nosalska, O. N. A Note on Associative Polyverbal Operations On Groups. Canadian journal of mathematics, Tome 26 (1974) no. 6, pp. 1450-1454. doi: 10.4153/CJM-1974-139-3
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[1] 1. Bronštein, M. A., Exact operations on a class of groups, Sibirsk. Mat. Z. 7 (1966), 1250–1258. Google Scholar

[2] 2. Golovin, O. N., Poly-identical relations in groups, Trudy Moskov. Mat. Obsc. 12 (1963), 413–435. Google Scholar

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[4] 4. Macedonskaja, O. N., On neutral polyverbal operations, Mat. Sb. 69 (1966), 286–299. Google Scholar

[5] 5. Magnus, W., Karrass, A., and Solitar, D., Combinatorial group theory, Pure and Appl. Math., Vol. 13 (Interscience, New York, 1966). Google Scholar

[6] 6. Moran, S., Associative operations on groups, I, Proc. Lond. Math. Soc. 6 (1956), 581–596. Google Scholar

[7] 7. Smel'kin, A. L., On the theory of regular products of groups, Mat. Sb. 51 (1960), 277–291. Google Scholar

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