Test elements and the retract theorem in hyperbolic groups.
O'Neill, John C., Turner, Edward C. (2000)
The New York Journal of Mathematics [electronic only]
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O'Neill, John C., Turner, Edward C. (2000)
The New York Journal of Mathematics [electronic only]
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François Dahmani, Daniel Groves (2008)
Publications Mathématiques de l'IHÉS
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We provide a solution to the isomorphism problem for torsion-free relatively hyperbolic groups with abelian parabolics. As special cases we recover solutions to the isomorphism problem for: (i) torsion-free hyperbolic groups (Sela, [60] and unpublished); and (ii) finitely generated fully residually free groups (Bumagin, Kharlampovich and Miasnikov [14]). We also give a solution to the homeomorphism problem for finite volume hyperbolic -manifolds, for . In the course of the proof of...
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