Rigidity of graph products of groups.
R-trees and the Bieri-Neumann-Strebel invariant.
Let G be a finitely generated group. We give a new characterization of its Bieri-Neumann-Strebel invariant Σ(G), in terms of geometric abelian actions on R-trees. We provide a proof of Brown's characterization of Σ(G) by exceptional abelian actions of G, using geometric methods.
Self-embeddings of kleinian groups
Séries de croissance et polynômes d'Ehrhart associés aux réseaux de racines
Étant donnés un système de racines d’une des familles A, B, C, D, F, G et le groupe abélien libre qu’il engendre, on calcule explicitement la série de croissance de ce groupe relativement à Les résultats s’interprètent en termes du polynôme d’Ehrhart de l’enveloppe convexe de .
Simplicial approximation and low-rank trees.
Solvable Groups that are Simply Connected at ... .
Solvable systems of equations modeled on some spines of 3-manifolds.
Some generalized Coxeter groups and their orbifolds.
In this note we construct examples of geometric 3-orbifolds with (orbifold) fundamental group isomorphic to a (Z-extension of a) generalized Coxeter group. Some of these orbifolds have either euclidean, spherical or hyperbolic structure. As an application, we obtain an alternative proof of theorem 1 of Hagelberg, Maclaughlan and Rosenberg in [5]. We also obtain a similar result for generalized Coxeter groups.
Some remarks on the ends of groups.
Spaces of geometrically finite representations.
Sphere equivalence, Property H, and Banach expanders
We study the uniform classification of the unit spheres of general Banach sequence spaces. In particular, we obtain some interesting applications involving Property H introduced by Kasparov and Yu, and Banach expanders.
Splittings of groups and intersection numbers.
Splittings of Poincaré Duality Groups.
SQ-универсальность свободных произведений с объединенными конечными подгруппами
Stable actions of groups on real trees.
Strong boundedness and algebraically closed groups
Let be a non-trivial algebraically closed group and be a subset of generating in infinitely many steps. We give a construction of a binary tree associated with . Using this we show that if is -existentially closed then it is strongly bounded.
Strongly geodesically automatic groups are hyperbolic.
Structure and Regidity in Hyperbolic Groups. I.
Subnormal subgroups of 3-dimensional Poincaré duality groups.
Subquadratic growth of the averaged Dehn function for free Abelian groups.