The Free Product of Residually Finite Groups Amalgamated Along Retracts is Residually Finite

DOI10.2307/2038704zbMath0255.55001OpenAlexW4229981184MaRDI QIDQ5669967

Benny Evans, James Boler

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/2038704

Mathematics Subject Classification ID

Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Local properties of groups (20E25)

Related Items (9)

Sufficient conditions for the root-class residuality of certain generalized free products. ⋮ Graphs and separability properties of groups ⋮ Virtual Retraction Properties in Groups ⋮ Infinite groups ⋮ Poly-freeness of even Artin groups of FC type ⋮ On equationally Noetherian and residually finite groups ⋮ Note on the residual finiteness of Artin groups ⋮ The root class residuality of the tree product of groups with amalgamated retracts ⋮ New examples of \({W}^\ast\) and \({C}^\ast \)-superrigid groups

Cites Work

• On generalised free products
• Residual Properties of Infinite Soluble Groups
• On Group-Theoretic Decision Problems and Their Classification. (AM-68)
• Residual finiteness of a class of knot groups
• Knot Groups. Annals of Mathematics Studies. (AM-56)
• On the residual nilpotence of certain one‐relator groups
• On the Residual Finiteness of Generalised Free Products of Nilpotent Groups
• A Finitely Related Group with An Isomorphic Proper Factor Group

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