55 citations
- Institut für Nichtklassische ChemieDE6 papers
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- Lomonosov Moscow State UniversityRU2 papers
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4 papers · 1 filter
Certain residual properties of generalized Baumslag-Solitar groups
E. V. Sokolov
Let be a generalized Baumslag-Solitar group and be a class of groups containing at least one non-unit group and closed under taking subgroups, extensions, and Car…
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…