Geodesic
Free decompositions in varieties of $\Lambda$-groups
Sbornik. Mathematics, Tome 16 (1972) no. 3, pp. 389-407

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This paper is concerned with $\Lambda$-groups, i.e. groups with powers from a field $\Lambda$ of characteristic $0$. Particular examples of $\Lambda$-groups are complete groups with single valued root extraction ($D$-groups). It is proven that in the variety of $\Lambda$-groups theorems concerning the decomposition of $\Lambda$-subgroups of a free product of $\Lambda$-groups and free $\Lambda$-subgroups of a free $\Lambda$-group are valid. Bibliography: 6 titles. 
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     author = {S. V. Polin},
     title = {Free decompositions in varieties of $\Lambda$-groups},
     journal = {Sbornik. Mathematics},
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     number = {3},
     year = {1972},
     language = {en},
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S. V. Polin. Free decompositions in varieties of $\Lambda$-groups. Sbornik. Mathematics, Tome 16 (1972) no. 3, pp. 389-407. http://geodesic.mathdoc.fr/item/SM_1972_16_3_a5/