Intersection of finitely generated surface groups

DOI10.1016/0022-4049(90)90125-2zbMath0713.20020OpenAlexW2052597293MaRDI QIDQ749657

Teruhiko Soma

Publication date: 1990

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(90)90125-2

zbMATH Keywords

fundamental groupfinitely generated subgroupshyperbolic geometryfree groupsKleinian groupsfree productconnected surfacefinitely generated intersection propertyranks of intersections

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Fundamental group, presentations, free differential calculus (57M05) 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 (10)

The Hanna Neumann conjecture for surface groups ⋮ On the intersection of tame subgroups in groups acting on trees ⋮ On the rank of intersection of subgroups of a free product of groups ⋮ The Hanna Neumann conjecture for Demushkin groups ⋮ The group fixed by a family of endomorphisms of a surface group ⋮ On the intersection of free subgroups in free products of groups ⋮ Virtual fibers in hyperbolic 3-manifolds ⋮ On the Kurosh rank of the intersection of subgroups in free products of groups. ⋮ 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

Cites Work

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• Topology of finite graphs
• Intersections of finitely generated subgroups of free groups and resolutions of graphs
• On Marden's universal constant of Fuchsian groups
• A topological proof of Grushko's theorem on free products
• Discrete Groups of Motions
• Intersections of Finitely Generated Subgroups in Free Products
• On the Intersection of Finitely Generated Free Groups

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