PROFINITE TOPOLOGIES IN FREE PRODUCTS OF GROUPS

DOI10.1142/S0218196704001992zbMath1076.20019OpenAlexW2033885916MaRDI QIDQ4658710

Luis Ribes, Pavel A. Zalesskii

Publication date: 18 March 2005

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

Full work available at URL: https://doi.org/10.1142/s0218196704001992

zbMATH Keywords

finitely generated subgroupsfree productsproducts of subgroupsprofinite topologysubgroup separable groupsprofinite graphs

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) Groups acting on trees (20E08) Limits, profinite groups (20E18)

Related Items (3)

A Survey on Difference Hierarchies of Regular Languages ⋮ The Ribes-Zalesskii property of some one relator groups ⋮ Virtual pro-\(p\) properties of 3-manifold groups

Cites Work

• On a conjecture of Rhodes
• Profinite groups and Boolean graphs
• Separability properties of free groups and surface groups
• On the Kurosh theorem and separability properties
• A Conjecture on the Hall Topology for the Free Group
• ASH'S TYPE II THEOREM, PROFINITE TOPOLOGY AND MALCEV PRODUCTS: PART I
• On The Profinite Topology on a Free Group
• THE PRO-p TOPOLOGY OF A FREE GROUP AND ALGORITHMIC PROBLEMS IN SEMIGROUPS
• The geometry of profinite graphs with applications to free groups and finite monoids
• The Product Separability of the Generalized Free Product of Cyclic Groups
• FREE PRODUCT, PROFINITE TOPOLOGY AND FINITELY GENERATED SUBGROUPS
• CLOSED SUBGROUPS IN PRO-V TOPOLOGIES AND THE EXTENSION PROBLEM FOR INVERSE AUTOMATA
• COMBINATORIAL GROUP THEORY, INVERSE MONOIDS, AUTOMATA, AND GLOBAL SEMIGROUP THEORY
• Inverse automata and profinite topologies on a free group

This page was built for publication: PROFINITE TOPOLOGIES IN FREE PRODUCTS OF GROUPS