A criterion for the \(\mathcal F_\pi\)-residuality of free products with amalgamated cyclic subgroup of nilpotent groups of finite ranks.

DOI10.1134/S0037446616030010zbMath1350.20024MaRDI QIDQ311234

D. N. Azarov

Publication date: 29 September 2016

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

generalized free productsresidually finite groupsnilpotent groups of finite ranksresidually \(p\)-groups

Mathematics Subject Classification ID

Nilpotent groups (20F18) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Residual properties and generalizations; residually finite groups (20E26)

Related Items (3)

On the separability of subgroups of nilpotent groups by root classes of groups ⋮ On the separability of abelian subgroups of the fundamental groups of graphs of groups. II ⋮ \( \mathcal{F}_\pi \)-residuality of generalized Baumslag-Solitar groups

Cites Work

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• On the residual finiteness of generalized free products of finite rank groups.
• On generalized free products of residually finite \(p\)-groups
• On the residual nilpotence of free products of free groups with cyclic amalgamation
• Residual finiteness of the free product of two groups with commuting subgroups
• On amalgamated free products of residually \(p\)-finite groups
• Amalgams of \(p\)-groups.
• Residual Properties of Infinite Soluble Groups
• RESIDUAL PROPERTIES OF ABELIAN GROUPS
• Residual Properties of Generalized Free Products with Cyclic Amalgamation
• On the Residual Finiteness of Generalized Free Products
• On the Residual Finiteness of Generalised Free Products of Nilpotent Groups

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