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The conjugacy problem for relatively hyperbolic groups

Inna Bumagin
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Abstract

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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Inna Bumagin. 2003-08-18. The conjugacy problem for relatively hyperbolic groups. https://doi.org/10.2140/agt.2004.4.1013

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