Equivariant Cohomology and Stable Cohomotopy.
Equivariant Homology and Mackey Functors.
Erratum: Multiplicative stability for the cohomology of finite Chevalley groups. Math. Helvetici 63 (1988), 108-113.
Euler Characteristic and Characters of Discrete Groups.
Euler Characteristics of Discrete Groups and G-Spaces.
Exactitude à gauche du foncteur de cohomologie bornée réelle
Existence of Gorenstein projective resolutions and Tate cohomology
Existence of proper Gorenstein projective resolutions and Tate cohomology is proved over rings with a dualizing complex. The proofs are based on Bousfield Localization which is originally a method from algebraic topology.
Exponents of modules and maps.
Extensions algébriques et formes quadratiques
Finiteness Properties of Duality Groups
Graded Division Algebras.
Group extensions and automorphism group rings.
Hecke operators on the -analogue of group cohomology.
Higher-dimensional algebra. V: 2-Groups.
Homological Criteria for Finiteness.
Homological Methods Applied to the Derived Series of Groups
Homological methods in the solution of certain functional equations.
Homology computations for complex braid groups
Complex braid groups are the natural generalizations of braid groups associated to arbitrary (finite) complex reflection groups. We investigate several methods for computing the homology of these groups. In particular, we get the Poincaré polynomial with coefficients in a finite field for one large series of such groups, and compute the second integral cohomology group for all of them. As a consequence we get non-isomorphism results for these groups.
Homology of gaussian groups
We describe new combinatorial methods for constructing explicit free resolutions of by -modules when is a group of fractions of a monoid where enough lest common multiples exist (“locally Gaussian monoid”), and therefore, for computing the homology of . Our constructions apply in particular to all Artin-Tits groups of finite Coexter type. Technically, the proofs rely on the properties of least common multiples in a monoid.
L²-homology and reciprocity for right-angled Coxeter groups
Let W be a Coxeter group and let μ be an inner product on the group algebra ℝW. We say that μ is admissible if it satisfies the axioms for a Hilbert algebra structure. Any such inner product gives rise to a von Neumann algebra containing ℝW. Using these algebras and the corresponding von Neumann dimensions we define -Betti numbers and an -Euler charactersitic for W. We show that if the Davis complex for W is a generalized homology manifold, then these Betti numbers satisfy a version of Poincaré...