2 citations · 3 across the 7 of their papers we have counts for
7 papers
On the residual nilpotence of generalized free products of groups
E. V. Sokolov
Let 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 -finiteness of for…
On conditions for the approximability of the fundamental groups of graphs of groups by root classes of groups
E. V. Sokolov
Suppose that is a non-empty connected graph, is the fundamental group of a graph of groups over , and is a root class of groups (the last means…
On the separability of subgroups of nilpotent groups by root classes of groups
E. V. Sokolov
Suppose that is a class of groups consisting only of periodic groups and is the set of prime numbers each of which does not divid…
Certain residual properties of HNN-extensions with central associated subgroups
E. V. Sokolov
Suppose that is a group, and are proper isomorphic central subgroups of , and is an HNN-extension of with the associated subgroups and . We…
The cyclic subgroup separability of certain generalized free products of two groups
P. A. Bobrovskii, E. V. Sokolov
Free products of two residually finite groups with amalgamated retracts are considered. It is proved that a cyclic subgroup of such a group is not finitely separable if, and only i…
On the cyclic subgroup separability of the free product of two groups with commuting subgroups
E. V. Sokolov
Let G be the free product of groups A and B with commuting subgroups H \leqslant A and K \leqslant B, and let C be the class of all finite groups or the class of all finite p-group…
A characterization of root classes of groups
E. V. Sokolov
A class of groups C is root in a sense of K. W. Gruenberg if it is closed under taking subgroups and satisfies the Gruenberg condition: for any group X and for any subnormal sequen…