Geodesic
On verbal factors of almost free groups in varieties
Sbornik. Mathematics, Tome 73 (1992) no. 2, pp. 501-516

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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     author = {S. V. Rychkov},
     title = {On verbal factors of almost free groups in varieties},
     journal = {Sbornik. Mathematics},
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     number = {2},
     year = {1992},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1992_73_2_a12/}
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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/