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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2021 Volume 62, Number 3, Pages 659–667 (Mi smj7585)
This article is cited in 1 paper

Retracts and verbally closed subgroups with respect to relatively free soluble groups

E. I. Timoshenko

Novosibirsk State Technical University, Novosibirsk, Russia

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

Keywords: equation in a group, retract, verbally closed subgroup.

UDC: 512.54

Received: 02.01.2021
Revised: 12.03.2021
Accepted: 14.04.2021

DOI: 10.33048/smzh.2021.62.316


 English version: Siberian Mathematical Journal, 2021, 62:3, 537–544

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© Steklov Math. Inst. of RAS, 2025