We study some algebraic properties of a class of group presentations depending on a finite number of integer parameters. This class contains many well-known groups which are interesting from a topological point of view. We find arithmetic conditions on the parameters under which the considered groups cannot be fundamental groups of hyperbolic 3-manifolds of finite volume. Then we investigate the asphericity for many presentations contained in our family
In this paper we obtain combinatorial conditions for the geometricity of group presentations; such a...
The theory of Coxeter groups is used to provide an algebraic construction of finite volume hyperboli...
This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to...
We study some algebraic properties of a class of group presentations depending on a finite number of...
AbstractWe study some algebraic properties of a class of group presentations depending on a finite n...
We introduce a family of cyclic presentations of groups depending on a finite set of integers. This ...
We construct a universal presentation for the fundamental group of a closed connected orientable 3-m...
AbstractWe study a family of combinatorial closed 3-manifolds obtained from polyhedral 3-balls, whos...
AbstractWe construct a universal presentation for the fundamental group of a closed-connected orient...
In this thesis we study several properties of finitely presented groups, through the unifying paradi...
Abstract. In this work we ask when a group is a 3-manifold group, or more specifically, when does a ...
We define a family of balanced presentations of groups and prove that they correspond to spines of s...
In this thesis we study the finite quotients of 3-manifold groups, concerning both residual properti...
In this thesis we study the finite quotients of 3-manifold groups, concerning both residual properti...
We exhibit classes of groups in which the word problem is uniformly solvable but in which there is ...
In this paper we obtain combinatorial conditions for the geometricity of group presentations; such a...
The theory of Coxeter groups is used to provide an algebraic construction of finite volume hyperboli...
This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to...
We study some algebraic properties of a class of group presentations depending on a finite number of...
AbstractWe study some algebraic properties of a class of group presentations depending on a finite n...
We introduce a family of cyclic presentations of groups depending on a finite set of integers. This ...
We construct a universal presentation for the fundamental group of a closed connected orientable 3-m...
AbstractWe study a family of combinatorial closed 3-manifolds obtained from polyhedral 3-balls, whos...
AbstractWe construct a universal presentation for the fundamental group of a closed-connected orient...
In this thesis we study several properties of finitely presented groups, through the unifying paradi...
Abstract. In this work we ask when a group is a 3-manifold group, or more specifically, when does a ...
We define a family of balanced presentations of groups and prove that they correspond to spines of s...
In this thesis we study the finite quotients of 3-manifold groups, concerning both residual properti...
In this thesis we study the finite quotients of 3-manifold groups, concerning both residual properti...
We exhibit classes of groups in which the word problem is uniformly solvable but in which there is ...
In this paper we obtain combinatorial conditions for the geometricity of group presentations; such a...
The theory of Coxeter groups is used to provide an algebraic construction of finite volume hyperboli...
This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to...