On the Finitely Generated Subgroups of an Amalgamated Product of Two Groups

DOI10.2307/1996244zbMath0254.20020OpenAlexW4235824037MaRDI QIDQ5668975

Robert G. Burns

Publication date: 1972

Full work available at URL: https://doi.org/10.2307/1996244

Mathematics Subject Classification ID

Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)

Related Items

On quasiconvex subgroups of negatively curved groups, Cyclic Extensions of Parafree Groups, Two remarks on the group property of Howson, Intersections of finitely generated subgroups in metabelian groups, Infinite groups, On Finitely Generated Subgroups Which are of Finite Index in Generalized Free Products, Subgroup properties of fully residually free groups, On subgroups of finite complexity in groups acting on trees., Virtual retraction and Howson’s theorem in pro-$p$ groups, On the intersection of double cosets in free groups, with an application to amalgamated products, On the Howson property of HNN-extensions with Abelian base group and amalgamated free products of Abelian groups.

Cites Work

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• On finitely generated subgroups of a free product
• Subgroups of finite index of Fuchsian groups
• Discrete Groups of Motions
• Intersections of Finitely Generated Subgroups in Free Products
• Generalized Free Products whose Two-Generator Subgroups are Free
• The Subgroups of a Free Product of Two Groups with an Amalgamated Subgroup
• On the Intersection of Finitely Generated Free Groups