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Retracts and Verbally Closed Subgroups with Respect to Relatively Free Soluble Groups

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Abstract

We describe retracts in free metabelian groups and obtain some structural results for verbally closed subgroups in free polynilpotent and free metabelian groups.

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Correspondence to E. I. Timoshenko.

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Translated from Sibirskii Matematicheskii Zhurnal, 2021, Vol. 62, No. 3, pp. 663–671. https://doi.org/10.33048/smzh.2021.62.316

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Timoshenko, E.I. Retracts and Verbally Closed Subgroups with Respect to Relatively Free Soluble Groups. Sib Math J 62, 537–544 (2021). https://doi.org/10.1134/S0037446621030162

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  • DOI: https://doi.org/10.1134/S0037446621030162

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