Baumslag-Solitar groups and some other groups of cohomological dimension two.
Berichtigung zu der Arbeit "Gleichungen in freien Produkten mit Amalgan".
Beschränkte Wortlänge in SL2.
Bicyclic commutator quotients with one non-elementary component
For any number field with non-elementary -class group , , the punctured capitulation type of in its unramified cyclic cubic extensions , , is an orbit under the action of . By means of Artin’s reciprocity law, the arithmetical invariant is translated to the punctured transfer kernel type of the automorphism group of the second Hilbert -class field of . A classification of finite -groups with low order and bicyclic commutator quotient , , according to the algebraic invariant...
Bounded generation of (after D. Carter, G. Keller, and E. Paige).
Bounded geometry in relatively hyperbolic groups.
Bounding the complexity of simplicial group actions on trees.
Bouts d'un groupe opérant sur la droite, I : théorie algébrique
On étudie les morphismes d’un groupe infini discret dans un groupe de Lie contenu dans le groupe des difféomorphismes de la droite réelle. À un tel morphisme , on associe deux ensembles de “bouts” de “dans la direction” . On calcule le nombre de bouts dans plusieurs situations. Dans le cas particulier où est de type fini et où est le groupe des translations, n’a qu’un bout dans la direction si, et seulement si, ils vérifient la propriété de Bieri-Neumann-Strebel.
Braids: generalizations, presentations and algorithmic properties.
Canonical bases for normal subgroups of finitely generated free groups with finite abelian factor groups.
Categorification of the virtual braid groups
We extend Rouquier’s categorification of the braid groups by complexes of Soergel bimodules to the virtual braid groups.
Centralisateurs des éléments d'ordre fini dans le groupes de Greendlinger.
Certain Subgroups of Certain One-Relator Groups.
Character theory of symmetric groups, analysis of long relators, and random walks.
Characterisation of finitely generated soluble finite-by-nilpotent groups
Characterization of abelian-by-cyclic 3-rewritable groups
Classification of Soluble Groups of Cohomologie Dimension Two.
Classifying spaces of categories and term rewriting.
Cogrowth and spectral gap of generic groups
The cogrowth exponent of a group controls the random walk spectrum. We prove that for a generic group (in the density model) this exponent is arbitrarily close to that of a free group. Moreover, this exponent is stable under random quotients of torsion-free hyperbolic groups.
Coherence of 3-manifold fundamental groups