Cohomologies of finite abelian groups
We construct a simplified resolution for the trivial G-module 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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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2017 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2017
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/156259 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Cohomologies of finite abelian groups / Yu.A. Drozd, A.I. Plakosh // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 1. — С. 144-157. — Бібліогр.: 7 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862543179126931456 |
|---|---|
| author | Drozd, Yu.A. Plakosh, A.I. |
| author_facet | Drozd, Yu.A. Plakosh, A.I. |
| citation_txt | Cohomologies of finite abelian groups / Yu.A. Drozd, A.I. Plakosh // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 1. — С. 144-157. — Бібліогр.: 7 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | We construct a simplified resolution for the trivial G-module 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 | 2025-11-24T20:43:37Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-156259 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-24T20:43:37Z |
| publishDate | 2017 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Drozd, Yu.A. Plakosh, A.I. 2019-06-18T10:25:42Z 2019-06-18T10:25:42Z 2017 Cohomologies of finite abelian groups / Yu.A. Drozd, A.I. Plakosh // Algebra and Discrete Mathematics. — 2017. — Vol. 24, № 1. — С. 144-157. — Бібліогр.: 7 назв. — англ. 1726-3255 2010 MSC:20J06, 18G10, 20K01. https://nasplib.isofts.kiev.ua/handle/123456789/156259 We construct a simplified resolution for the trivial G-module 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Cohomologies of finite abelian groups Article published earlier |
| spellingShingle | Cohomologies of finite abelian groups Drozd, Yu.A. Plakosh, A.I. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/156259 |
| work_keys_str_mv | AT drozdyua cohomologiesoffiniteabeliangroups AT plakoshai cohomologiesoffiniteabeliangroups |