\(k\)-weakly almost convex groups and \(\pi_ 1^ \infty \widetilde M^ 3\)

DOI10.1007/BF01265676zbMath0805.57009OpenAlexW2027829174MaRDI QIDQ1311604

Valentin Poénaru, Corrado Tanasi

Publication date: 1 February 1994

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01265676

zbMATH Keywords

closed 3-manifold3-weakly almost convex fundamental groupsimply- connected at infinity

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Geometric group theory (20F65) Fundamental group, presentations, free differential calculus (57M05)

Related Items

Measuring the tameness of almost convex groups ⋮ A group-theoretical finiteness theorem ⋮ Tame combings and easy groups ⋮ On Poénaru’s inverse-representations

Cites Work

• Unnamed Item
• Unnamed Item
• On Dehn's lemma and the asphericity of knots
• Manifolds with canonical coordinate charts: Some examples
• Groups generated by reflections and aspherical manifolds not covered by Euclidean space
• Almost convex groups
• On the equivalence relation forced by the singularities of a nondegenerate simplicial map
• Géométrie et théorie des groupes. Les groupes hyperboliques de Gromov. (Geometry and group theory. The hyperbolic groups of Gromov)
• Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
• Almost convex groups, Lipschitz combing, and \(\pi^ \infty _ 1\) for universal covering spaces of closed 3-manifolds
• Coxeter groups are almost convex
• A note on curvature and fundamental group
• A proof and extension of Dehn’s lemma
• The Boundary of Negatively Curved Groups