Acylindrical accessibility for groups

1997/08/01 by Zlil Sela, Z. Sela · 16 citations
Mathematics · #Advanced Operator Algebra Research #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · doi:10.1007/s002220050172

crossref issued 1997/08/01 · crossref published 1997/08/01 · crossref published-print 1997/08/01 · openalex publication_date 1997/08/01 · crossref created 2002/08/25 · crossref deposited 2019/05/24 · openalex created_date 2025/10/10 · crossref indexed 2026/07/16 · openalex updated_date 2026/07/23

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• Diophantine geometry over groups I : Makanin-Razborov diagrams
• The isomorphism problem for toral relatively hyperbolic groups
• The Hopf Property for Subgroups of Hyperbolic Groups
• On purely loxodromic actions
• Regular neighbourhoods and canonical decompositions for groups
• JSJ decompositions: definitions, existence, uniqueness. I: The JSJ\n deformation space
• JSJ decompositions: definitions, existence, uniqueness. II.\n Compatibility and acylindricity
• Acylindrically hyperbolic groups
• Makanin-Razborov Diagrams over Free Products
• Trees of cylinders and canonical splittings
• Random walks, WPD actions, and the Cremona group
• Homomorphisms to acylindrically hyperbolic groups I: Equationally noetherian groups and families
• Conjugacy classes of solutions to equations and inequations over hyperbolic groups
• Combination of convergence groups
• Geometric group theory [wikipedia]
• Stallings theorem about ends of groups [wikipedia]