An exterior product for the homology of groups with integral coefficients modulo
An implementation of the Neumann-Praeger algorithm for the recognition of special linear groups.
An infinite-dimensional torsion-free FP...group.
Anwendungen der Nielsenschen Kürzungsmethode in Gruppen mit einer definierenden Relation.
Applications of Topological Graph Theory for Group Theory.
Artin Groups and Infinite Coxeter Groups.
Aspherical four-manifolds and the centres of two-knot groups.
Aspherical Group Presentations.
Asphericity of symmetric presentations
Using the notion of relative presentation due to Bogley and Pride, we give a new proof of a theorem of Prishchepov on the asphericity of certain symmetric presentations of groups. Then we obtain further results and applications to topology of low-dimensional manifolds.
Asymptotic dimension of discrete groups
We extend Gromov's notion of asymptotic dimension of finitely generated groups to all discrete groups. In particular, we extend the Hurewicz type theorem proven in [B-D2] to general groups. Then we use this extension to prove a formula for the asymptotic dimension of finitely generated solvable groups in terms of their Hirsch length.
Asymptotic dimension of one relator groups
We show that one relator groups viewed as metric spaces with respect to the word-length metric have finite asymptotic dimension in the sense of Gromov, and we give an improved estimate of that dimension in terms of the relator length. The construction is similar to one of Bell and Dranishnikov, but we produce a sharper estimate.
Asymptotics of generating the symmetric and alternating groups.
Augmented group systems and n-knots.
Automatic structures, rational growth, and geometrically finite hyperbolic groups.
Automorphism groups of free metabelian nilpotent groups.
Automorphismen und Erzeugende für Gruppen mit einer definierenden Relation.
Automorphisms and abstract commensurators of 2-dimensional Artin groups.
Autormorphism groups of countable highly homogeneous partially ordererd sets.
Bases of certain finite groups
Basic results on braid groups
These are Lecture Notes of a course given by the author at the French-Spanish School Tresses in Pau, held in Pau (France) in October 2009. It is basically an introduction to distinct approaches and techniques that can be used to show results in braid groups. Using these techniques we provide several proofs of well known results in braid groups, namely the correctness of Artin’s presentation, that the braid group is torsion free, or that its center is generated by the full twist. We also recall some...