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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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
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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Algebra and Discrete Mathematics| _version_ | 1856543062615916544 |
|---|---|
| author | Drozd, Yuriy A. Plakosh, Andriana I. |
| author_facet | Drozd, Yuriy A. Plakosh, Andriana I. |
| author_sort | Drozd, Yuriy A. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2017-10-11T02:08:06Z |
| 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. |
| first_indexed | 2025-12-02T15:50:13Z |
| format | Article |
| id | admjournalluguniveduua-article-530 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:50:13Z |
| publishDate | 2017 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| spellingShingle | cohomologies finite abelian groups resolution \(G\)-lattice 20J06 18G10 20K01 Drozd, Yuriy A. Plakosh, Andriana I. Cohomologies of finite abelian groups |
| title | 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_short | Cohomologies of finite abelian groups |
| title_sort | cohomologies of finite abelian groups |
| topic | cohomologies finite abelian groups resolution \(G\)-lattice 20J06 18G10 20K01 |
| topic_facet | cohomologies finite abelian groups resolution \(G\)-lattice 20J06 18G10 20K01 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/530 |
| work_keys_str_mv | AT drozdyuriya cohomologiesoffiniteabeliangroups AT plakoshandrianai cohomologiesoffiniteabeliangroups |