On the ends of higher dimensional knot groups

DOI10.1016/0022-4049(81)90066-9zbMath0453.57012OpenAlexW2087410596MaRDI QIDQ1149145

John G. Ratcliffe

Publication date: 1981

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(81)90066-9

zbMATH Keywords

2-knot group with infinitely many endsnon-trivial three dimensional homologyuniversal cover of the complement

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Fundamental group, presentations, free differential calculus (57M05) Structure and classification of infinite or finite groups (20E99)

Related Items (1)

A small infinitely-ended 2-knot group

Cites Work

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• Ends of knot groups
• On the ends of knot groups
• On Dehn's lemma and the asphericity of knots
• The homotopy groups of knots. I: How to compute the algebraic 2-type
• Homological criteria for finiteness
• Normal subgroups in duality groups and in groups of cohomological dimension 2
• An unknotting criterion
• Poincaré complexes. I
• Die erste Cohomologiegruppe von Überlagerungen und Homotopie- Eigenschaften dreidimensionaler Mannigfaltigkeiten
• Cohomology theory of groups with a single defining relation
• Über die Enden diskreter Räume und Gruppen
• Enden offener Räume und unendliche diskontinuierliche Gruppen
• Accessibility and Groups of Cohomological Dimension One
• Twisting Spun Knots
• Les nœuds de dimensions supérieures
• Groups of cohomological dimension one

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