Nonpositive immersions, sectional curvature, and subgroup properties
DOI10.1090/S1079-6762-03-00105-7zbMath1059.20041MaRDI QIDQ4708800
Publication date: 19 June 2003
Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/228257
coherenceHNN extensionscoherent groupsone-relator groupsnonpositive sectional curvaturelocal quasiconvexitylocal indicabilityBaumslag conjecturecompact coresfundamental groups of 2-complexes of nonpositive curvaturenonpositive immersions
Generators, relations, and presentations of groups (20F05) Topological methods in group theory (57M07) Fundamental group, presentations, free differential calculus (57M05) Hyperbolic groups and nonpositively curved groups (20F67)
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Cites Work
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- A covering space with no compact core
- On Dehn's lemma and the asphericity of knots
- Euclidean decompositions of noncompact hyperbolic manifolds
- Aspherical 2-complexes and an unsettled problem of J.H.C.Whitehead
- On locally indicable groups
- Mapping tori of free group automorphisms are coherent
- Equivalence of the strengthened Hanna Neumann conjecture and the amalgamated graph conjecture
- Nonpositively curved metrics on 2-polyhedra
- Coherence, local quasiconvexity, and the perimeter of 2-complexes.
- Residual Finiteness of Quasi-Positive One-Relator Groups
- FANS AND LADDERS IN SMALL CANCELLATION THEORY
- A COLORING TEST FOR ASPHERICITY
- On pairs of 2-complexes and systems of equations over groups.
- Subgroups of small Cancellation Groups
- Incoherent negatively curved groups
- Star-complexes, and the dependence problems for hyperbolic complexes
- On One-Relator Groups Having Elements of Finite Order
- A Note on Group Rings of Certain Torsion-Free Groups
- Finitely Generated 3-Manifold Groups are Finitely Presented
