Geodesic
On verbal factors of almost free groups in varieties
Sbornik. Mathematics, Tome 73 (1992) no. 2, pp. 501-516 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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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