Cohomologies of finite abelian groups
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.
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| Datum: | 2017 |
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| Format: | Artikel |
| Sprache: | English |
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Lugansk National Taras Shevchenko University
2017
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/530 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-5302017-10-11T02:08:06Z Cohomologies of finite abelian groups Drozd, Yuriy A. Plakosh, Andriana I. cohomologies, finite abelian groups, resolution, \(G\)-lattice 20J06, 18G10, 20K01 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. Lugansk National Taras Shevchenko University 2017-10-07 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/530 Algebra and Discrete Mathematics; Vol 24, No 1 (2017) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/530/pdf Copyright (c) 2017 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2017-10-11T02:08:06Z |
| collection |
OJS |
| language |
English |
| topic |
cohomologies finite abelian groups resolution \(G\)-lattice 20J06 18G10 20K01 |
| spellingShingle |
cohomologies finite abelian groups resolution \(G\)-lattice 20J06 18G10 20K01 Drozd, Yuriy A. Plakosh, Andriana I. Cohomologies of finite abelian groups |
| topic_facet |
cohomologies finite abelian groups resolution \(G\)-lattice 20J06 18G10 20K01 |
| format |
Article |
| author |
Drozd, Yuriy A. Plakosh, Andriana I. |
| author_facet |
Drozd, Yuriy A. Plakosh, Andriana I. |
| author_sort |
Drozd, Yuriy A. |
| title |
Cohomologies of finite abelian groups |
| title_short |
Cohomologies of finite abelian groups |
| title_full |
Cohomologies of finite abelian groups |
| title_fullStr |
Cohomologies of finite abelian groups |
| title_full_unstemmed |
Cohomologies of finite abelian groups |
| title_sort |
cohomologies of finite abelian groups |
| description |
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. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2017 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/530 |
| work_keys_str_mv |
AT drozdyuriya cohomologiesoffiniteabeliangroups AT plakoshandrianai cohomologiesoffiniteabeliangroups |
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2025-07-17T10:32:01Z |
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2025-07-17T10:32:01Z |
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1837889824599572480 |