A note on centrality in 3-manifold groups

DOI10.1017/S0305004100068523zbMath0709.57011OpenAlexW2096911895MaRDI QIDQ3492413

Peter H. Kropholler

Publication date: 1990

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100068523

zbMATH Keywords

centralizers in fundamental groups of 3-manifoldsstrictly ascending chain of centralizers

Mathematics Subject Classification ID

Related Items (11)

Centralizer in PD(3) groups ⋮ On the automorphism group of generalized Baumslag-Solitar groups. ⋮ Incommensurable lattices in Baumslag–Solitar complexes ⋮ On knot groups acting on trees ⋮ Cyclic normal subgroups of generalized Baumslag–Solitar groups ⋮ Acylindrical hyperbolicity, non-simplicity and SQ-universality of groups splitting over \(\mathbb{Z}\) ⋮ Homomorphisms of nonzero degree betweenPD_n-groups ⋮ Certain residual properties of generalized Baumslag-Solitar groups ⋮ On the isomorphism problem for generalized Baumslag-Solitar groups. ⋮ Nœuds Fox-résiduellement nilpotents et rigidité virtuelle des variétés hyperboliques de dimension 3. (Fox-residually nilpotent knots and virtual rigidity of hyperbolic 3-manifolds) ⋮ Centralizers and normalizers of subgroups of \(\text{PD}_3\)-groups and open \(\text{PD}_3\)-groups.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A test for the fundamental group of a 3-manifold
• Three-dimensional Poincaré duality groups which are extensions
• Splittings of Poincaré duality groups
• Groups Which Act on S n Without Fixed Point
• A New Proof of the Annulus and Torus Theorems
• Splittings of Poincaré Duality Groups III
• Finitely Generated 3-Manifold Groups are Finitely Presented
• Compact Submanifolds of 3-Manifolds

This page was built for publication: A note on centrality in 3-manifold groups