Powers of commutators as products of squares.
Primitives in the Free Group on Two Generators.
Products of Conjugacy Classes in a Free Group: a Counterexample.
Radial functions on free groups and a decomposition of the regular representation into irreducible components.
Reduced Forms for Quadratic Words and Spines of 2-manifolds.
Remarks on Varieties of Topological Groups
Representation of order automorphisms by words.
Representations of a free group of rank two by time-varying Mealy automata
In the group theory various representations of free groups are used. A representation of a free group of rank two by the so-calledtime-varying Mealy automata over the changing alphabet is given. Two different constructions of such automata are presented.
Representing lattices by homotopy groups of graphs
In this paper we represent every lattice by subgroups of free groups using the concept of the homotopy group of a graph.
Residual Properties of Free Groups. III.
Restricted walks in regular trees.
Rings of Fricke Characters and Automorphism Groups of Free Groups.
Schur multipliers of p-groups.
Some algebraic properties of weakly compact and compact cardinals
Spherical functions and uniformly bounded representations of free groups
We give a construction of an analytic series of uniformly bounded representations of a free group G, through the action of G on its Poisson boundary. These representations are irreducible and give as their coefficients all the spherical functions on G which tend to zero at infinity. The principal and the complementary series of unitary representations are included. We also prove that this construction and the other known constructions lead to equivalent representations.
Stabilization for the automorphisms of free groups with boundaries.
Stable rational cohomology of automorphism groups of free groups and the integral cohomology of moduli spaces of graphs.
It is not known whether or not the stable rational cohomology groups H*(Aut(F∞);Q) always vanish (see Hatcher in [5] and Hatcher and Vogtmann in [7] where they pose the question and show that it does vanish in the first 6 dimensions). We show that either the rational cohomology does not vanish in certain dimensions, or the integral cohomology of a moduli space of pointed graphs does not stabilize in certain other dimensions. Similar results are stated for groups of outer automorphisms. This yields...
String Matching And Algorithmic Problems In Free Groups.
Sur la théorie élémentaire des groupes libres
Sela a annoncé une solution complète d’un problème de Tarski, qui demanda vers 1945 quels sont les groupes de type fini qui ont la même théorie élémentaire qu’un groupe libre. Nous discuterons des travaux de Remeslennikov, Kharlampovich-Myasnikov, Sela, Champetier-Guirardel et autres sur la structure des groupes limites (les groupes de type fini qui sont “limites”de groupes libres, ou encore, qui ont la même théorie universelle qu’un groupe libre). Nous indiquerons quelques outils utilisés par Sela...
Sur les automorphismes extérieurs des groupes hyperboliques