Test elements and the retract theorem in hyperbolic groups.

O'Neill, John C.; Turner, Edward C.

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Erratum to: “Elementary embeddings in torsion-free hyperbolic groups”

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Annales scientifiques de l'École Normale Supérieure

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Aspects of the geometry of mapping class groups.

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Structure and Regidity in Hyperbolic Groups. I.

E. Rips, Z. Sela (1994)

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Klimenko, Elena (2001)

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Kleinian groups and the rank problem.

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Limit groups for relatively hyperbolic groups. II: Makanin-Razborov diagrams.

Groves, Daniel (2005)

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The isomorphism problem for toral relatively hyperbolic groups

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special cases we recover solutions to the isomorphism problem for: (i) torsion-free hyperbolic groups (Sela, [60] and unpublished); and (ii) finitely generated fully residually free groups (Bumagin, Kharlampovich and Miasnikov [14]).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 $n$ -manifolds, for $n \geq 3$ . In the course of the proof of...

Hyperbolic groups with low-dimensional boundary

Michael Kapovich, Bruce Kleiner (2000)

Annales scientifiques de l'École Normale Supérieure

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Conjugacy pinched and cyclically pinched one-relator groups.

Benjamin Fine, Gerhard Rosenberger, Michael Stille (1997)

Revista Matemática de la Universidad Complutense de Madrid

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Here we consider two classes of torsion-free one-relator groups which have proved quite amenable to study-the cyclically pinched one-relator groups and the conjugacy pinched one-relator groups. The former is the class of groups which are free products of free groups with cyclic amalgamations while the latter is the class of HNN extensions of free groups with cyclic associated subgroups. Both are generalizations of surface groups. We compare and contrast results in these classes relative...

Self-embeddings of kleinian groups

Ken&#039;ichi Ohshika, Leonid Potyagailo (1998)

Annales scientifiques de l'École Normale Supérieure

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Strongly geodesically automatic groups are hyperbolic.

P. Papasoglu (1995)

Inventiones mathematicae

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