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special cases we recover solutions to the isomorphism problem for: (i) torsion-free hyperbolic groups (Sela, [60] and unpublished); and (ii) finitely generated fully residually free groups (Bumagin, Kharlampovich and Miasnikov [14]).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...
E. Rips, Z. Sela (1994)
Geometric and functional analysis
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Klimenko, Elena (2001)
Journal of Lie Theory
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P. Papasoglu (1995)
Inventiones mathematicae
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J. Aramayona (2006)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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E. Rips, Z. Sela (1995)
Inventiones mathematicae
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Jan Dymara, Damian Osajda (2007)
Fundamenta Mathematicae
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We prove that the boundary of a right-angled hyperbolic building is a universal Menger space. As a consequence, the 3-dimensional universal Menger space is the boundary of some Gromov-hyperbolic group.
Michael Kapovich, Bruce Kleiner (2000)
Annales scientifiques de l'École Normale Supérieure
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Avalishvili, G., Gordeziani, D. (1999)
Bulletin of TICMI
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Michał Kisielewicz (1975)
Annales Polonici Mathematici
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Groves, Daniel (2005)
Geometry & Topology
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J. Kisyński (1970)
Colloquium Mathematicae
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Sudhanshu K. Ghoshal, Abha Ghoshal, M. Abu-Masood (1977)
Annales Polonici Mathematici
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