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

The isomorphism problem for toral relatively hyperbolic groups

François Dahmani, Daniel Groves (2008)

Publications Mathématiques de l'IHÉS

Similarity:

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special cases we recover solutions to the isomorphism problem for: (i) torsion-free hyperbolic groups (Sela, [60] and unpublished); and (ii) finitely generated fully residually free groups (Bumagin, Kharlampovich and Miasnikov [14]).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

Boundaries of right-angled hyperbolic buildings

Jan Dymara, Damian Osajda (2007)

Fundamenta Mathematicae

Similarity:

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.