The singularity obstruction for group splittings

DOI10.1016/S0166-8641(01)00059-1zbMath0991.20024MaRDI QIDQ5960417

Graham A. Niblo

Publication date: 7 April 2002

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

zbMATH Keywords

subgroups of finite indexHNN extensionsnumbers of endsamalgamated free productsends of groupssingularity obstructionssplittings of groups

Mathematics Subject Classification ID

Geometric group theory (20F65) Topological methods in group theory (57M07) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items

CAT(0) cube complexes with flat hyperplanes ⋮ A topological splitting theorem for Poincaré duality groups and high-dimensional manifolds ⋮ Hyperbolicities in CAT(0) cube complexes ⋮ Relative ends, \(\ell^2\)-invariants and property (T). ⋮ On embeddings of CAT(0) cube complexes into products of trees via colouring their hyperplanes ⋮ Analogues of Cayley graphs for topological groups ⋮ Splittings and \(C\)-complexes. ⋮ MINIMAL CUBINGS ⋮ Decomposing groups by codimension-1 subgroups ⋮ Coning-off CAT(0) cube complexes

Cites Work

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• Relative ends and duality groups
• Ends of pairs of groups
• Fixed-point-free actions on cubings
• Codimension-1 subgroups and splittings of groups
• The geometry of cube complexes and the complexity of their fundamental groups
• The algebraic torus theorem
• Cutting up graphs
• Splitting Groups Over Polycyclic-By-Finite Subgroups
• Accessibility and Groups of Cohomological Dimension One
• Ends of Group Pairs and Non-Positively Curved Cube Complexes
• Finding Splittings of Groups and 3-Manifolds

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