On generalized free products of residually finite \(p\)-groups

DOI10.1006/JABR.1997.7256zbMath0918.20009OpenAlexW1963558069MaRDI QIDQ1268100

Goansu Kim, C. Y. Tang

Publication date: 16 August 1999

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1997.7256

zbMATH Keywords

generalized free productstree productsfinitely generated torsion-free nilpotent groupsresidually finite \(p\)-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 (12)

Separability of the subgroups of residually nilpotent groups in the class of finite \(\pi\)-groups ⋮ A criterion for the \(\mathcal F_\pi\)-residuality of free products with amalgamated cyclic subgroup of nilpotent groups of finite ranks. ⋮ Amalgamated free product in terms of automata constructions ⋮ On the cyclic subgroup separability of the free product of two groups with commuting subgroups ⋮ Unnamed Item ⋮ The root-class residuality of tree products with central amalgamated subgroups ⋮ Non-orientable surface-plus-one-relation groups. ⋮ Generalized free products of residually \(p\)-finite groups. ⋮ On the free profinite products of profinite groups with commuting subgroups ⋮ Residual Properties of Generalized Free Products with Cyclic Amalgamation ⋮ On the approximability by finite \(p\)-groups of free products of groups with normal amalgamation. ⋮ Separability of subgroups of nilpotent groups in the class of finite \(\pi\)-groups.

Cites Work

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• On amalgamated free products of residually \(p\)-finite groups
• Some residually \(p\)-finite one relator groups
• Residual properties of free products of infinitely many nilpotent groups amalgamating cycles
• Amalgams of \(p\)-groups.
• Residual Properties of Infinite Soluble Groups
• On the residual nilpotence of certain one‐relator groups
• Einige Sätze über freie Gruppen

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