Semistability of amalgamated products, HNN-extensions, and all one-relator groups

DOI10.1090/S0273-0979-1992-00257-4zbMath0818.20044arXivmath/9201264OpenAlexW2107794176MaRDI QIDQ3992030

Steven T. Tschantz, Michael L. Mihalik

Publication date: 28 June 1992

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9201264

zbMATH Keywords

finitely generated subgroupscohomology of groupsHNN-extensionsone-relator groupsamalgamated productscovering spacessemistability at infinityfinite presentations

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Homological methods in group theory (20J05) Fundamental group, presentations, free differential calculus (57M05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (2)

Semistability at infinity, simple connectivity at infinity and normal subgroups ⋮ A stability range for topological 4-manifolds

Cites Work

• The accessibility of finitely presented groups
• Free Abelian cohomology of groups and ends of universal covers
• Ends of groups with the integers as quotient
• Ends of double extension groups
• Semistability at \(\infty\) of finitely generated groups, and solvable groups
• End invariants of group extensions
• Über die Enden topologischer Räume und Gruppen
• Enden offener Räume und unendliche diskontinuierliche Gruppen
• Semistability at the End of A Group Extension
• Semistability at ∞, ∞-Ended Groups and Group Cohomology
• The Boundary of Negatively Curved Groups
• Semistability of amalgamated products and HNN-extensions
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