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On verbally closed subgroups of free solvable groups
V. A. Roman'kov, E. I. Timoshenko
We study verbally closed subgroups of free solvable groups. A number of results is proved that give sufficient conditions under whose a verbally closed subgroup is turned to be a r…
Two-generated verbally closed subgroups of a free solvable group G are retracts of G
V. A. Roman'kov, E. I. Timoshenko
We prove that every verbally closed two-generated subgroup of a free solvable group G of a finite rank is a retract of G.
Automorphism groups of relatively free groups of infinite rank: a survey
V. Roman'kov
The paper is intended to be a survey on some topics within the framework of automorphisms of a relatively free groups of infinite rank. We discuss such properties as tameness, prim…
On linearity of automorphism groups of algebras and groups
Vitalii Roman'kov
The main purpose of this paper is to describe some published results and outline corresponding approaches which when applied to automorphism groups of algebras or groups establish…