Baer invariants in semi-abelian categories II: Homology.
Baumslag-Solitar groups and some other groups of cohomological dimension two.
Bounded cohomology of lattices in higher rank Lie groups
We prove that the natural map from bounded to usual cohomology is injective if is an irreducible cocompact lattice in a higher rank Lie group. This result holds also for nontrivial unitary coefficients, and implies finiteness results for : the stable commutator length vanishes and any –action on the circle is almost trivial. We introduce the continuous bounded cohomology of a locally compact group and prove our statements by relating to the continuous bounded cohomology of the ambient group...
Bounding the orders of finite subgroups.
We give homological conditions on groups such that whenever the conditions hold for a group G, there is a bound on the orders of finite subgroups of G. This extends a result of P. H. Kropholler. We also suggest a weaker condition under which the same conclusion might hold.
Cancellation law for Homotopy Equivalent representations of Groups of odd order.
Caractérisation des groupes de cohomologie d'un groupe topologique en termes de suites exactes
Catégorification des coefficients de la matrice de la représentation de Burau
Nous catégorifions explicitement les coefficients de la matrice de la représentation de Burau en utilisant des méthodes géométriques élémentaires. Nous montrons que cette catégorification est fidèle dans le sens où elle détecte la tresse triviale.
Chern Classes and Groups with Periodic Cohomology.
Chern classes of group representations over a number field
Classification of fibred group extensions and H...
Classification of Soluble Groups of Cohomologie Dimension Two.
Clifford k-algebras and k*-groups.
Cohomological characterisations of saturated formations and homomorphs of finite groups.
Cohomological characterization of relative hyperbolicity and combination theorem.
Cohomological dimension and symmetric automorphisms of a free group.
Cohomologie des groupes discontinus
Cohomology and special extensions of groups
Cohomology of finite groups of Lie type, I
Cohomology of Lie groups made discrete.
We give a survey of the work of Milnor, Friedlander, Mislin, Suslin and other authors on the Friedlander-Milnor conjecture on the homology of Lie groups made discrete and its relation to the algebraic K-theory of fields.
Cohomology with free coefficients of the fundamental group of a graph of groups.