Author/Authors :
Alberto Cavicchioli and Friedrich Hegenbarth، نويسنده , , Du?an Repov?، نويسنده , , Fulvia Spaggiari، نويسنده ,
Abstract :
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.
