Cohomologie des groupes discrets
Cohomology and group actions.
Cohomology and Group Actions.
Cohomology and special extensions of groups
Cohomology of classifying spaces of complex Lie groups and related discrete groups.
Cohomology of finite groups of Lie type, I
Cohomology of groups, Abelian Sylow subgroups and splendid equivalences.
Cohomology of groups with operators.
Cohomology of integer matrices and local-global divisibility on the torus
Let be a prime and let be a -group of matrices in , for some integer . In this paper we show that, when , a certain subgroup of the cohomology group is trivial. We also show that this statement can be false when . Together with a result of Dvornicich and Zannier (see [2]), we obtain that any algebraic torus of dimension enjoys a local-global principle on divisibility by .
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 of modules in the principal block of a finite group.
Cohomology of unipotent algebraic and finite groups and the Steenrod algebra.
Cohomology rings of Artin groups
In this paper integer cohomology rings of Artin groups associated with exceptional groups are determined. Computations have been carried out by using an effective method for calculation of cup product in cellular cohomology which we introduce here. Actually, our method works in general for any finite regular complex with identifications, the regular complex being geometrically realized by a compact orientable manifold, possibly with boundary.
Cohomology with free coefficients of the fundamental group of a graph of groups.
Combinatorial squashings, 3-manifolds, and the third homology of groups.
Commutative diagrams for the inflation-restriction sequence
Compactly supported cohomology of systolic 3-pseudomanifolds
We show that the second group of cohomology with compact supports is nontrivial for three-dimensional systolic pseudomanifolds. It follows that groups acting geometrically on such spaces are not Poincaré duality groups.
Complexity and Multiple Complexes.
Computing second cohomology of finite groups with trivial coefficients.
Congruences between Siegel modular forms on the level of group cohomology
Vector-valued Siegel modular forms may be found in certain cohomology groups with coefficients lying in an irreducible representation of the symplectic group. Using functoriality in the coefficients, we show that the ordinary components of the cohomology are independent of the weight parameter. The meaning of ordinary depends on a choice of parabolic subgroup of , giving a particular direction in the change of weight. Our results complement those of Taylor and Tilouine-Urban for the two other possible...