Three-manifolds and Baumslag-Solitar groups

DOI10.1016/S0166-8641(99)00167-4zbMath0976.57002MaRDI QIDQ5928500

Peter B. Shalen

Publication date: 8 January 2002

Published in: Topology and its Applications (Search for Journal in Brave)

zbMATH Keywords

3-manifold grouptorus theorem

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Fundamental group, presentations, free differential calculus (57M05)

Related Items

ON TWO CLASSES OF GROUPS SATISFYING THE STRONG BASS CONJECTURE ⋮ Generalized torsion, unique root property and Baumslag-Solitar relation for knot groups ⋮ Some Baumslag–Solitar groups are two-bridge virtual knot groups ⋮ On knot groups acting on trees ⋮ Ends of finite volume, nonpositively curved manifolds ⋮ \( \mathcal{F}_\pi \)-residuality of generalized Baumslag-Solitar groups ⋮ Non-left-orderable surgeries and generalized Baumslag–Solitar relators

Cites Work

• Unnamed Item
• Unnamed Item
• There are no fake Seifert fibre spaces with infinite \(\pi_1\).
• Homotopy equivalences of 3-manifolds with boundaries
• Convergence groups and Seifert fibered 3-manifolds
• Gruppen mit Zentrum und 3-dimensionale Mannigfaltigkeiten
• Finitely presented subgroups of three-manifold groups
• Seifert fibered spaces in 3-manifolds
• Homeomorphic conjugates of Fuchsian groups.
• A New Proof of the Annulus and Torus Theorems
• Finitely Generated 3-Manifold Groups are Finitely Presented
• Compact Submanifolds of 3-Manifolds
• Convergence groups are Fuchsian groups