Deciding isomorphy using Dehn fillings, the splitting case
From MaRDI portal
Publication:1717653
DOI10.1007/s00222-018-0824-yzbMath1503.20010arXiv1311.3937OpenAlexW2594685698MaRDI QIDQ1717653
François Dahmani, Nicholas W. M. Touikan
Publication date: 8 February 2019
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.3937
Dehn's isomorphism problemnilpotent parabolic subgroupsvirtually torsion-free relatively hyperbolic groups
Geometric group theory (20F65) Topological methods in group theory (57M07) Hyperbolic groups and nonpositively curved groups (20F67)
Related Items (3)
Relative hyperbolicity for automorphisms of free products and free groups ⋮ Dehn filling Dehn twists ⋮ Immersed cycles and the JSJ decomposition
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Presenting parabolic subgroups.
- The isomorphism problem for all hyperbolic groups.
- Trees of cylinders and canonical splittings.
- Covering theory for graphs of groups
- On the one-endedness of graphs of groups.
- Automorphism groups of polycyclic-by-finite groups and arithmetic groups.
- The isomorphism problem for finitely generated fully residually free groups.
- Peripheral fillings of relatively hyperbolic groups.
- Dehn filling in relatively hyperbolic groups.
- Relatively hyperbolic groups: geometry and quasi-isometric invariance.
- The isomorphism problem for toral relatively hyperbolic groups.
- The accessibility of finitely presented groups
- Cyclic splittings of finitely presented groups and the canonical JSJ deccomposition
- Some general algorithms. I: Arithmetic groups
- Some general algorithms. II: Nilpotent groups
- The algorithmic theory of polycyclic-by-finite groups
- Sur les groupes hyperboliques d'après Mikhael Gromov. (On the hyperbolic groups à la M. Gromov)
- JSJ-splittings for finitely presented groups over slender groups
- Combination of convergence groups.
- Deformation and rigidity of simplicial group actions on trees.
- Random nilpotent groups, polycyclic presentations, and Diophantine problems
- The conjugacy problem for relatively hyperbolic groups.
- The isomorphism problem for hyperbolic groups. I
- Centralizers of finite subgroups of the mapping class group.
- Recognizing a relatively hyperbolic group by its Dehn fillings
- Deformation spaces of trees.
- Quasi-isometry invariance of group splittings.
- Tree-graded spaces and asymptotic cones of groups. (With an appendix by Denis Osin and Mark Sapir).
- The automorphism group of a polycyclic group
- Peripheral splittings of groups
- Time complexity of the conjugacy problem in relatively hyperbolic groups
- Equations in nilpotent groups
- ON ENDOMORPHISMS OF TORSION-FREE HYPERBOLIC GROUPS
- JSJ decompositions of groups
- Relatively hyperbolic groups: intrinsic geometry, algebraic properties, and algorithmic problems
- Detecting free splittings in relatively hyperbolic groups
- Divergence in lattices in semisimple Lie groups and graphs of groups
- Decidable Properties of Polycyclic Groups
- Computing JSJ decompositions of hyperbolic groups
- Detecting geometric splittings in finitely presented groups
- Conjugacy Separability and Free Products of Groups with Cyclic Amalgamation
- On the geometry of burnside quotients of torsion free hyperbolic groups
- Hyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces
- ELEMENTARY SUBGROUPS OF RELATIVELY HYPERBOLIC GROUPS AND BOUNDED GENERATION
- Courbure mésoscopique et théorie de la toute petite simplification
This page was built for publication: Deciding isomorphy using Dehn fillings, the splitting case