On the hyperbolicity of small cancellation groups and one-relator groups
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Publication:4382985
DOI10.1090/S0002-9947-98-01818-2zbMath0915.20016MaRDI QIDQ4382985
Paul E. Schupp, Sergei V. Ivanov
Publication date: 24 March 1998
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Cancellation theory of groups; application of van Kampen diagrams (20F06)
Related Items (13)
Hyperbolicity of \(T(6)\) cyclically presented groups ⋮ Strictly systolic angled complexes and hyperbolicity of one-relator groups ⋮ An Investigation Into the Cyclically Presented Groups with Length Three Positive Relators ⋮ A family of two-generator non-Hopfian groups ⋮ Short, Highly Imprimitive Words Yield Hyperbolic One-Relator Groups ⋮ The word problem in the Baumslag group with a non-elementary Dehn function is polynomial time decidable. ⋮ Curvature distribution and hyperbolicity ⋮ \(C(6)\) groups do not contain \(F_2\times F_2\). ⋮ On flat submaps of maps of nonpositive curvature ⋮ On one-relator monoids and one-relator groups ⋮ Genericity, the Arzhantseva-Ol'shanskii method and the isomorphism problem for one-relator groups. ⋮ On mathematical contributions of Paul E. Schupp ⋮ A strong geometric hyperbolicity property for directed graphs and monoids.
Cites Work
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- Small cancellation theory and automatic groups
- A combination theorem for negatively curved groups
- Small cancellation theory and automatic groups. II
- Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
- On the Existence of Flat Planes in Spaces of Non-Positive Curvature
- Hyperbolic groups and free constructions
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