The conjugacy problem for relatively hyperbolic groups
By Inna Bumagin. 2003
50 citations recorded by the source corpus.
Solvability of the conjugacy problem for relatively hyperbolic groups was announced by Gromov (18). Using the definition of Farb of a relatively hyperbolic group in the strong sense (14), we prove this assertion. We conclude that the conjugacy problem is solvable for fundamental groups of complete, finite-volume, negatively curved manifolds, and for finitely generated fully residually free groups. AMS Classification 20F67; 20F10
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/cf2c6f2aaec8ae7f78b3f1254f1acf03c4278e26
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In Geometry and Topology
- Alexei G. Myasnikov
- Olga Kharlampovich
- Emina Alibegović
- D. Groves
- Daniel T. Wise
- Vincent Guirardel
- H. Bigdely
- Jorge Almeida
In Mathematical Physics
- Alexei G. Myasnikov
- Olga Kharlampovich
- Emina Alibegović
- Daniel T. Wise
- D. Groves
- H. Bigdely
- Jorge Almeida
Citations in the corpus
- Elementary theory of free non-abelian groups (2006, background): “Notice, that Theorem 23 also follows from [2], because finitely generated fully residually free groups are relatively hyperbolic [5].”
- A Combination Theorem for Relatively Hyperbolic Groups (2003, background): “In [3], Bumagin shows that the conjugacy problem is solvable for a group G that is hyperbolic relative to a subgroup H with the solvable conjugacy problem; hence the conjugacy problem is solvable for limit groups.”