Peripheral fillings of relatively hyperbolic groups

DOI10.1090/S1079-6762-06-00159-4zbMath1125.20310OpenAlexW1593029068MaRDI QIDQ3432107

Denis V. Osin

Publication date: 13 April 2007

Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1079-6762-06-00159-4

zbMATH Keywords

word hyperbolic groupsfinitely generated groupsrelatively hyperbolic groupsvan Kampen diagramsDehn fillingscusp subgroupsperipheral fillingsquasi-convex subgroupsresidually hyperbolic groups

Mathematics Subject Classification ID

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Peripheral fillings of relatively hyperbolic groups.
• Dehn filling in relatively hyperbolic groups.
• The Novikov conjecture for groups with finite asymptotic dimension
• Lattices in spaces of nonpositive curvature
• Semigroups with the congruence extension property
• The residual finiteness of negatively curved polygons of finite groups.
• Non-amenable finitely presented torsion-by-cyclic groups.
• Diophantine geometry over groups. I: Makanin-Razborov diagrams
• Limit groups and groups acting freely on \(\mathbb{R}^n\)-trees.
• Tree-graded spaces and asymptotic cones of groups. (With an appendix by Denis Osin and Mark Sapir).
• Elements of finite order in groups with a single defining relation
• Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems
• Three dimensional manifolds, Kleinian groups and hyperbolic geometry
• The SQ-universality of hyperbolic groups
• A topological characterisation of relatively hyperbolic groups
• Semihyperbolic Groups
• Hyperbolic groups and their quotients of bounded exponents
• ELEMENTARY SUBGROUPS OF RELATIVELY HYPERBOLIC GROUPS AND BOUNDED GENERATION
• Embedding Theorems for Groups
• Relatively hyperbolic groups
• On the congruence extension property

This page was built for publication: Peripheral fillings of relatively hyperbolic groups