Geodesic
On verbal factors of almost free groups in varieties
Sbornik. Mathematics, Tome 73 (1992) no. 2, pp. 501-516 
S. V. Rychkov. On verbal factors of almost free groups in varieties. Sbornik. Mathematics, Tome 73 (1992) no. 2, pp. 501-516. http://geodesic.mathdoc.fr/item/SM_1992_73_2_a12/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Under the assumption of the axiom of constructibility of set theory it is shown that for varieties of groups of exponent zero and for uncountable, regular, not weakly compact cardinals $k$ there can be constructed $k$-separable groups having no nontrivial decomposition into a verbal product.

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