The conjugacy problem for relatively hyperbolic groups

Details The conjugacy problem for relatively hyperbolic groups The conjugacy problem for relatively hyperbolic groups

2003-08-18

arxiv.org/abs/math/0308171v2

Algebr. Geom. Topol. 4 (2004) 1013-1040

Mathematics

Group Theory

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-43.abs.html

Scientific paper

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.

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