FREE PRODUCT, PROFINITE TOPOLOGY AND FINITELY GENERATED SUBGROUPS

DOI10.1142/S0218196701000449zbMath1024.20022OpenAlexW2036404562MaRDI QIDQ4786275

Thierry Coulbois

Publication date: 15 December 2002

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218196701000449

zbMATH Keywords

finitely generated subgroupsfree productsprofinite topology

Mathematics Subject Classification ID

Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Residual properties and generalizations; residually finite groups (20E26)

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PROFINITE METHODS IN SEMIGROUP THEORY, COMBINATORIAL GROUP THEORY, INVERSE MONOIDS, AUTOMATA, AND GLOBAL SEMIGROUP THEORY, Separable subsets of GFERF negatively curved groups., ON EXTENSIONS OF PARTIAL ISOMORPHISMS, The Ribes-Zalesskii property of some one relator groups, Dense locally finite subgroups of automorphism groups of ultraextensive spaces, Recent developments around partial actions, PROFINITE TOPOLOGIES IN FREE PRODUCTS OF GROUPS, A constructive version of the Ribes-Zalesskiĭ product theorem., PARTIAL ACTIONS OF GROUPS, Finitely approximate groups and actions Part I: The Ribes–Zalesskiĭ property, Finitely approximable groups and actions Part II: Generic representations, On the Kurosh theorem and separability properties

Cites Work

• Extending partial isomorphisms of graphs
• Graphs and separability properties of groups
• Extending partial isomorphisms on finite structures
• Residual Properties of Infinite Soluble Groups
• A Conjecture on the Hall Topology for the Free Group
• On The Profinite Topology on a Free Group
• Extending partial automorphisms and the profinite topology on free groups
• On Finitely Generated Subgroups of Free Products