Cohomology and group actions.
Cohomology and Group Actions.
Cohomology of classifying spaces of complex Lie groups and related discrete groups.
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 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.
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.
Corners and Arithmetic Groups
Crossed modules, Crossed n-fold extension of groups and Cohomology theory in Abstract Categories
Depth and equivariant cohomology.
Depth and the Cohomology of Wreath Products.
Depth and transfer maps in the cohomology of groups.
Die dritte Loewy Schicht von P1.
Die Signatur von Flächenbündeln.
Enumeration of nilpotent loops up to isotopy
We modify tools introduced in [Daly D., Vojtěchovský P., Enumeration of nilpotent loops via cohomology, J. Algebra 322 (2009), no. 11, 4080–4098] to count, for any odd prime , the number of nilpotent loops of order up to isotopy, instead of isomorphy.