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ON THE COHOMOLOGY OF FOLIATED BUNDLES
(Universidad Católica del Norte, Departamento de Matemáticas, 2002)
Some considerations about cohomology of finite groups
(2013)
In this work we present some considerations about cohomology of finite groups. In the first part we use the restriction map in cohomology to obtain some results about subgroups of finite index in a group. In the second ...
Relative differential cohomology
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2017-09-27)
We briefly review the classical construction of the Cheeger-Simons characters, the Deligne cohomology groups and the differential K-theory groups, which are representatives of the absolute differential refinement of the ...
Cohomology of partial smash products
(Academic Press Inc Elsevier Science, 2017-07-15)
We define the partial group cohomology as the right derived functor of the functor of partial invariants, we relate this cohomology with partial derivations and with the partial augmentation ideal and we show that there ...
Some properties of e(G,w,ft g) and an application in the theory of splittings of groups
(2020-01-01)
Let us consider W a G-set and M a Z2G-module, where G is a group. In this paper we investigate some properties of the cohomological the theory of splittings of groups. Namely, we give a proof of the invariant E(G,W,M), ...
Sobre certas teorias de cohomologia de grupos e aplicaçõesAbout some theories of cohomology groups and applications
(Universidade Estadual Paulista (Unesp), 2016)
On cohomologies and extensions of cyclic groups
(ELSEVIER SCIENCE BV, 2011)
Cohomology groups H(s)(Z(n), Z(m)) are studied to describe all groups up to isomorphism which are (central) extensions of the cyclic group Z(n) by the Z(n)-module Z(m). Further, for each such a group the number of ...
Sobre certas teorias de cohomologia de grupos e aplicações
(Universidade Estadual Paulista (Unesp), 2016-03-02)
Este trabalho apresenta um estudo das teorias de cohomologia ordinária de grupos, da cohomologia de Tate e de Farrel, e algumas aplicações no contexto da Topologia Algébrica. Dentro desse contexto foram desenvolvidos, ...
On Poincare duality for pairs (G,W)
(De Gruyter Open Ltd, 2015-05-28)
Let G be a group and W a G-set. In this work we prove a result that describes geometrically, for a Poincare duality pair (G, W), the set of representatives for the G-orbits in W and the family of isotropy subgroups. We ...