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An application of localization to Galois cohomology.
(2011-10-13)
We use a localization theorem and a characterization of the first group of cohomology [H.sup.1](G, B) to give a new proof that the groups of cohomology [H.sup.i] (G, B) of finite cyclic extensions of number fields have ...
The first group (co)homology of a group G with coefficients in some G-modules
(NISC PTY LTD, 2008)
Let G be a group. We give some formulas for the first group homology and cohomology of a group G with coefficients in an arbitrary G-module (Z) over tilde. More explicit calculations are done in the special cases of free ...
A sequência espectral de Serre
(Universidade Estadual Paulista (Unesp), 2020-04-08)
Nessa dissertação, estudamos a construção da sequência espectral de Serre associada a uma fibração. Para culminar em sua formulação, passamos por tópicos da Topologia Algébrica taiscomo álgebra homológica, grupos de ...
Castelnuovo Mumford regularity with respect to multigraded ideals
(Academic Press Inc Elsevier Science, 2017-03)
In this article we extend a previous definition of Castelnuovo–Mumford regularity for modules over an algebra graded by a finitely generated abelian group. Our notion of regularity is based on Maclagan and Smith's definition, ...
Cobordism of maps of locally orientable Witt spaces
(Kossuth Lajos Tudomanyegyetem, 2019-01-01)
The aim of this work is to present some remarks on cobordism of normally nonsingular maps between compact locally orientable Witt spaces. By using the Wu classes defined by Goresky and Pardon, we give a definition of ...
Localization of the cohomology of a finite galois group in a dedekind domain
(Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas, 1976)
LeI us take a Dedekind domain A with field of fractions K. L a finite Galois extensión of K with Galois group G and B the integral closure of A in L. then B is a G -A -module and the cohomology group of G in B.
The cohomological equation over dynamical systems arising from Delone sets
(CAMBRIDGE UNIV PRESS, 2011)
The hull Omega of an aperiodic repetitive Delone set P in R(d) is a compact metric space on which R(d) acts continuously by translation. Let G be R(m) or T(m) and alpha be a continuous G-cocycle over the dynamical system ...
Sobre (H,G)-coincidências de aplicações com domínio em espaços com ações de grupos finitos
(Universidade Estadual Paulista (Unesp), 2017-02-23)
O objetivo principal deste trabalho é apresentar detalhadamente um estudo sobre um critério, que aparece na referência Coincidence for maps of spaces with finite group action de D. L. Gonçalves, J. Jaworowski, P. L. Q. ...