Subgroup separability of certain generalized free products of nilpotent-by-finite groups.

DOI10.1007/s10114-013-0547-3zbMath1271.20040OpenAlexW2106397600MaRDI QIDQ2376652

Goansu Kim, Wei Zhou

Publication date: 24 June 2013

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-013-0547-3

zbMATH Keywords

generalized free productsresidually finite groupssubgroup separable groupsnilpotent-by-finite groups

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Residual properties and generalizations; residually finite groups (20E26)

Cites Work

• Unnamed Item
• The residual finiteness of some one-relator groups with torsion
• Cyclic amalgamations of residually finite groups
• Graphs and separability properties of groups
• CONJUGACY SEPARABILITY OF CERTAIN GENERALIZED FREE PRODUCTS OF NILPOTENT GROUPS
• A non-Hopfian group
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• Subgroup separability, knot groups and graph manifolds
• Conjugacy Separability of Generalized Free Products of Certain Conjugacy Separable Groups
• On homomorphisms onto finite groups
• Subgroup separability of graphs of nilpotent groups
• A free product of finitely generated nilpotent groups amalgamating a cycle that is not subgroup separable
• On the Residual Finiteness of Generalised Free Products of Nilpotent Groups
• Coset Representations in Free Groups

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