On the residual finiteness of generalized free products of finite rank groups.
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Publication:359352
DOI10.1134/S0037446613030014zbMath1290.20023MaRDI QIDQ359352
Publication date: 12 August 2013
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
free productsresidually finite groupsamalgamated productsgroups of finite rankresidually separable groups
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
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- 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)
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