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arXiv:math/0308171 [math.GR]AbstractReferencesReviewsResources

The conjugacy problem for relatively hyperbolic groups

Inna Bumagin

Published 2003-08-18, updated 2004-11-13Version 2

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.

Comments: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-43.abs.html
Journal: Algebr. Geom. Topol. 4 (2004) 1013-1040
Categories: math.GR, math.GT
Subjects: 20F67, 20F10
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