Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9493513 | Journal of Algebra | 2005 | 16 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Alberto Cavicchioli, Dušan Repovš, Fulvia Spaggiari,