On the residual finiteness of generalized free products of finite rank groups.

DOI10.1134/S0037446613030014zbMath1290.20023MaRDI QIDQ359352

D. N. Azarov

Publication date: 12 August 2013

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

zbMATH Keywords

free productsresidually finite groupsamalgamated productsgroups of finite rankresidually separable groups

Mathematics Subject Classification ID

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 (6)

A criterion for the \(\mathcal F_\pi\)-residuality of free products with amalgamated cyclic subgroup of nilpotent groups of finite ranks. ⋮ Unnamed Item ⋮ On the separability of subgroups of nilpotent groups by root classes of groups ⋮ Approximability of generalized free products of groups with amalgamated normal subgroup by some classes of finite groups. ⋮ On the separability of abelian subgroups of the fundamental groups of graphs of groups. II ⋮ Residual separability of subgroups in free products with amalgamated subgroup of finite index

Cites Work

• Unnamed Item
• Unnamed Item
• Ascending HNN extensions of polycyclic groups are residually finite.
• A Converse to a Residual Finiteness Theorem of G. Baumslag
• Residually finite groups of finite rank
• On the Residual Finiteness of Generalized Free Products
• On the Residual Finiteness of Generalised Free Products of Nilpotent Groups
• On Infinite Soluble Groups (IV)

This page was built for publication: On the residual finiteness of generalized free products of finite rank groups.