Splittings and \(C\)-complexes.

DOI10.2140/agt.2009.9.1971zbMath1225.20035arXiv0906.1149OpenAlexW3099495190MaRDI QIDQ731434

Mahan Mitra, G. P. Scott, Gadde A. Swarup

Publication date: 6 October 2009

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.1149

zbMATH Keywords

incidence graphssimplicial complexesfinitely generated groupsquasiconvex subgroupshyperbolic groupsmalnormal subgroupsends of groupssplittings of groupscodimension one subgroups\(C\)-complexes

Mathematics Subject Classification ID

Topological methods in group theory (57M07) General geometric structures on low-dimensional manifolds (57M50) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (1)

Geometric group theory and hyperbolic geometry: recent contributions from Indian mathematicians

Cites Work

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• Relative ends and duality groups
• Relative rigidity, quasiconvexity and \(C\)-complexes.
• The symmetry of intersection numbers in group theory
• Height in splittings of hyperbolic groups.
• Splittings of finitely generated groups over two-ended subgroups
• Accessibility and Groups of Cohomological Dimension One
• Widths of Subgroups
• Ends of Group Pairs and Non-Positively Curved Cube Complexes
• MINIMAL CUBINGS
• Groups of cohomological dimension one
• The singularity obstruction for group splittings

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