Anwendungen der Nielsenschen Kürzungsmethode in Gruppen mit einer definierenden Relation.
Applications of Topological Graph Theory for Group Theory.
Arithmetic of stabilizers of ideals in group rings.
Arithmetic properties of the cohomology of Artin groups
Around the Borromean link.
This is a survey of some consequences of the fact that the fundamental group of the orbifold with singular set the Borromean link and isotropy cyclic of order 4 is a universal kleinian group.
Artin Groups and Infinite Coxeter Groups.
Artin-Gruppen und Coxeter-Gruppen.
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 coarse spaces.
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.
Attaching handlebodies to 3-manifolds.
Au bord de certains polyèdres hyperboliques
Le cadre de cet article est celui des groupes et des espaces hyperboliques de M. Gromov. Il est motivé par la question suivante : comment différencier deux groupes hyperboliques à quasi-isométrie près ? On illustre ce problème en détaillant un exemple de M. Gromov issu de Asymptotic invariants for infinite groups. On décrit une famille infinie de groupes hyperboliques, deux à deux non quasi-isométriques, de bord la courbe de Menger. La méthode consiste à étudier leur structure quasi-conforme au...
Auflösbare Gruppen mit endlichem Exponenten, deren Untergruppen alle subnormal sind. - II
Auflösbare Gruppen mit endlichem Exponenten, deren Untergruppen alle subnormal sind. - I
Augmented group systems and n-knots.
Automatic structures, rational growth, and geometrically finite hyperbolic groups.