Algebraic and Geometric Topology 4 (2004),
paper no. 43, pages 1013-1040.
The conjugacy problem for relatively hyperbolic groups
Solvability of the conjugacy problem for relatively hyperbolic groups
was announced by Gromov [Hyperbolic groups, MSRI publications 8
(1987)]. Using the definition of Farb of a relatively hyperbolic group
in the strong sense [B Farb, Relatively hyperbolic groups,
Geom. Func. Anal. 8 (1998) 810-840], 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.
Negatively curved groups, algorithmic problems
AMS subject classification.
Submitted: 5 May 2002.
(Revised: 2 July 2003.)
Accepted: 4 September 2003.
Published: 3 November 2004.
Notes on file formats
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