The conjugacy problem for relatively hyperbolic groups
Group Theory
2014-10-01 v2 Geometric Topology
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.
Cite
@article{arxiv.math/0308171,
title = {The conjugacy problem for relatively hyperbolic groups},
author = {Inna Bumagin},
journal= {arXiv preprint arXiv:math/0308171},
year = {2014}
}
Comments
Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol4/agt-4-43.abs.html