Groupes d'extensions et foncteurs polynomiaux

Décomposition de Hodge pour l’homologie stable des groupes d’automorphismes des groupes libres

We establish a decomposition of stable homology of automorphism groups of free groups with polynomial contravariant coefficients in term of functor homology. This allows several explicit computations, intersecting results obtained by independant methods by O. Randal-Williams. Classification MSC 2010 : 18A25, 18G15, 20E36, 20J06, 55P42 (18A40, 18E30, 18G40, 55P47). Mots clefs : groupes d’automor...

Contributions à la compréhension de problèmes d'optimisation combinatoire et études d'extensions de la méthode B

Additive and Multiplicative Properties Ofpoint Sets Based on Beta

| To each number > 1 correspond abelian groups in R d , of the form = P d i=1 Z e i , which obey. The set Z of beta-integers is a countable set of numbers : it is precisely the set of real numbers which are polynomial in when they are written in \basis ", and Z = Zwhen 2 N. We prove here a list of arithmetic properties of Z : addition, multiplication, relation with integers, when is a quadratic...

Sur Les Endomorphismes Polynomiaux Permutables De C

Dans cet article, nous déterminons tous les couples d'endomorphismes polynomiaux permutables de degrés supérieursà 1 de C 2 qui se prolongent en des endomorphismes holomorphes de P 2 et qui possèdent deux suites d'itérés disjointes. Abstract On the commuting polynomial endomorphisms of C 2 We determine all couples of commuting polynomial endomorphisms of C 2 that extends to holomorphic endomorp...

Groups and Combings

We develop the ideas of combable and bicombable groups introduced by Cannon, Epstein, Holt, Patterson and Thurston [CEHPT] and others, generalizing the classes of automatic and biautomatic groups. These classes include Gromov’s hyperbolic groups, and the fundamental groups of closed compact manifolds of nonpositive curvature. We study quasiconvex subgroups of these groups and show that the resu...