Geodesic
Cohomologies of finite abelian groups
Algebra and discrete mathematics, Tome 24 (2017) no. 1, pp. 144-157

Voir la notice de l'article provenant de la source Math-Net.Ru

We construct a simplified resolution for the trivial $G$-module $\mathbb{Z}$, where $G$ is a finite abelian group, and compare it with the standard resolution. We use it to calculate cohomologies of irreducible $G$-lattices and their duals.
Keywords: finite abelian groups, resolution, $G$-lattice.
Mots-clés : cohomologies 
@article{ADM_2017_24_1_a8,
     author = {Yuriy A. Drozd and Andriana I. Plakosh},
     title = {Cohomologies of finite abelian groups},
     journal = {Algebra and discrete mathematics},
     pages = {144--157},
     publisher = {mathdoc},
     volume = {24},
     number = {1},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2017_24_1_a8/}
}
TY  - JOUR
AU  - Yuriy A. Drozd
AU  - Andriana I. Plakosh
TI  - Cohomologies of finite abelian groups
JO  - Algebra and discrete mathematics
PY  - 2017
SP  - 144
EP  - 157
VL  - 24
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ADM_2017_24_1_a8/
LA  - en
ID  - ADM_2017_24_1_a8
ER  - 
%0 Journal Article
%A Yuriy A. Drozd
%A Andriana I. Plakosh
%T Cohomologies of finite abelian groups
%J Algebra and discrete mathematics
%D 2017
%P 144-157
%V 24
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ADM_2017_24_1_a8/
%G en
%F ADM_2017_24_1_a8
Yuriy A. Drozd; Andriana I. Plakosh. Cohomologies of finite abelian groups. Algebra and discrete mathematics, Tome 24 (2017) no. 1, pp. 144-157. http://geodesic.mathdoc.fr/item/ADM_2017_24_1_a8/