E. V. Sokolov

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20212023

most citedOn the separability of subgroups of nilpotent groups by root classes of groups

2 citations · 2 across the 2 of their papers we have counts for

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math.GR2023

On the residual nilpotence of generalized free products of groups

E. V. Sokolov

Let $G$ be the generalized free product of two groups with an amalgamated subgroup. We propose an approach that allows one to use results on the residual $p$ -finiteness of $G$ for…

math.GR2022★ 2 cited

On the separability of subgroups of nilpotent groups by root classes of groups

E. V. Sokolov

Suppose that $C$ is a class of groups consisting only of periodic groups and $P (C)^{'}$ is the set of prime numbers each of which does not divid…

math.GR2021

Certain residual properties of HNN-extensions with central associated subgroups

E. V. Sokolov

Suppose that $G$ is a group, $H$ and $K$ are proper isomorphic central subgroups of $G$ , and $G$ is an HNN-extension of $G$ with the associated subgroups $H$ and $K$ . We…