We apply Gromov's concept of asymptotic cone to distinguish quasi-isometry classes of fundamental groups of 3-manifolds. We prove that the existence of a Seifert component in a Haken manifold is a quasi-isometry invariant of its fundamental group. (orig.)Available from TIB Hannover: RO 5389(344) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman
In this thesis we study the finite quotients of 3-manifold groups, concerning both residual properti...
be an exact sequence of finitely presented groups, where Q is infinite and not virtually cyclic, and...
A question naturally arisen is the problem of the classification of closed 3-dimensional manifolds w...
The main result is a homotopy characterization of Seifert-fibered 3-orbifolds: if O is a closed, ori...
We prove that for every countable group G there exists a hyperbolic 3-manifold M such that the isome...
V2: correction of a mistake in the introductionWe provide a proof that the classes of finitely gener...
AbstractWe show that for any metric space M satisfying certain natural conditions, there is a finite...
Let Y (R) be the asymptotic cone of this group as constructed in [3]. We can consider this as a metr...
This work concerns the diffeomorphism groups of 3-manifolds, in particular of elliptic 3-manifolds. ...
AbstractIn this paper we show that fundamental groups of Seifert fibered spaces over non-orientable ...
This work concerns the diffeomorphism groups of 3-manifolds, in particular of elliptic 3-manifolds. ...
We show that the fundamental groups of any two closed irreducible nongeometric graph manifolds are q...
AbstractWe introduce a concept of tree-graded metric space and we use it to show quasi-isometry inva...
In this thesis we study the finite quotients of 3-manifold groups, concerning both residual properti...
AbstractWe prove that the fundamental group of any Seifert 3-manifold is conjugacy separable. That i...
In this thesis we study the finite quotients of 3-manifold groups, concerning both residual properti...
be an exact sequence of finitely presented groups, where Q is infinite and not virtually cyclic, and...
A question naturally arisen is the problem of the classification of closed 3-dimensional manifolds w...
The main result is a homotopy characterization of Seifert-fibered 3-orbifolds: if O is a closed, ori...
We prove that for every countable group G there exists a hyperbolic 3-manifold M such that the isome...
V2: correction of a mistake in the introductionWe provide a proof that the classes of finitely gener...
AbstractWe show that for any metric space M satisfying certain natural conditions, there is a finite...
Let Y (R) be the asymptotic cone of this group as constructed in [3]. We can consider this as a metr...
This work concerns the diffeomorphism groups of 3-manifolds, in particular of elliptic 3-manifolds. ...
AbstractIn this paper we show that fundamental groups of Seifert fibered spaces over non-orientable ...
This work concerns the diffeomorphism groups of 3-manifolds, in particular of elliptic 3-manifolds. ...
We show that the fundamental groups of any two closed irreducible nongeometric graph manifolds are q...
AbstractWe introduce a concept of tree-graded metric space and we use it to show quasi-isometry inva...
In this thesis we study the finite quotients of 3-manifold groups, concerning both residual properti...
AbstractWe prove that the fundamental group of any Seifert 3-manifold is conjugacy separable. That i...
In this thesis we study the finite quotients of 3-manifold groups, concerning both residual properti...
be an exact sequence of finitely presented groups, where Q is infinite and not virtually cyclic, and...
A question naturally arisen is the problem of the classification of closed 3-dimensional manifolds w...