Relating the Freiheitssatz to the asymptotic behavior of a group

DOI10.4171/RMI/713zbMath1319.57001OpenAlexW2087518501MaRDI QIDQ1941168

Francisco F. Lasheras, Ranja Roy

Publication date: 11 March 2013

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rmi/713

zbMATH Keywords

Freiheitssatz3-manifoldends of groupsproperly 3-realizableproper homotopyfundamental pro-groupsemistable at infinity

Mathematics Subject Classification ID

Related Items (5)

Weak \(\mathcal{Z}\)-structures and one-relator groups ⋮ A note on group extensions and proper 3-realizability ⋮ Proper 2-equivalences between infinite ended finitely presented groups ⋮ Quasi-isometries and proper homotopy: The quasi-isometry invariance of proper $3$-realizability of groups ⋮ A topological equivalence relation for finitely presented groups

Cites Work

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• One-relator groups and proper 3-realizability
• Proper L--S category, fundamental pro-groups and 2-dimensional proper co-H-spaces
• Amalgamated products and properly 3-realizable groups
• Properly 3-realizable groups
• On the wgsc and qsf tameness conditions for finitely presented groups
• The accessibility of finitely presented groups
• Free Abelian cohomology of groups and ends of universal covers
• The QSF property for groups and spaces
• The fundamental group at infinity
• Direct products and properly 3-realisable groups
• Some small aspherical spaces
• Properly 3-realizable groups
• Embedding proper homotopy types
• A Finitely Generated Infinite Simple Group
• Infinite homotopy theory

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