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.
Збережено в:
Дата: | 2017 |
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Автори: | , |
Формат: | Стаття |
Мова: | English |
Опубліковано: |
Інститут прикладної математики і механіки НАН України
2017
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Назва видання: | Algebra and Discrete Mathematics |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/156259 |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Цитувати: | 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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irk-123456789-1562592019-06-19T01:26:29Z Cohomologies of finite abelian groups Drozd, Yu.A. Plakosh, A.I. 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. 2017 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/156259 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
collection |
DSpace DC |
language |
English |
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. |
format |
Article |
author |
Drozd, Yu.A. Plakosh, A.I. |
spellingShingle |
Drozd, Yu.A. Plakosh, A.I. Cohomologies of finite abelian groups Algebra and Discrete Mathematics |
author_facet |
Drozd, Yu.A. Plakosh, A.I. |
author_sort |
Drozd, Yu.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 |
publisher |
Інститут прикладної математики і механіки НАН України |
publishDate |
2017 |
url |
http://dspace.nbuv.gov.ua/handle/123456789/156259 |
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. |
series |
Algebra and Discrete Mathematics |
work_keys_str_mv |
AT drozdyua cohomologiesoffiniteabeliangroups AT plakoshai cohomologiesoffiniteabeliangroups |
first_indexed |
2023-05-20T17:49:24Z |
last_indexed |
2023-05-20T17:49:24Z |
_version_ |
1796154168404082688 |