On automorphism groups of some modules

In this paper we investigated \(ZG\)-module \(A\), where \(G\) is either nilpotent or soluble group of infinite special rank. It is described the construction of these modules in the case, if for any proper subgroup \(H\) of infinite special rank of group \(G\) the quotient module \(A/C_{A}(H)\) is...

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Date:2018
Main Author: Dashkova, O. Yu.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/878
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
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spelling oai:ojs.admjournal.luguniv.edu.ua:article-8782018-03-21T06:53:57Z On automorphism groups of some modules Dashkova, O. Yu. In this paper we investigated \(ZG\)-module \(A\), where \(G\) is either nilpotent or soluble group of infinite special rank. It is described the construction of these modules in the case, if for any proper subgroup \(H\) of infinite special rank of group \(G\) the quotient module \(A/C_{A}(H)\) is a noetherian \(Z\)-module. Lugansk National Taras Shevchenko University 2018-03-21 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/878 Algebra and Discrete Mathematics; Vol 5, No 1 (2006) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/878/407 Copyright (c) 2018 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
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datestamp_date 2018-03-21T06:53:57Z
collection OJS
language English
topic

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Dashkova, O. Yu.
On automorphism groups of some modules
topic_facet

format Article
author Dashkova, O. Yu.
author_facet Dashkova, O. Yu.
author_sort Dashkova, O. Yu.
title On automorphism groups of some modules
title_short On automorphism groups of some modules
title_full On automorphism groups of some modules
title_fullStr On automorphism groups of some modules
title_full_unstemmed On automorphism groups of some modules
title_sort on automorphism groups of some modules
description In this paper we investigated \(ZG\)-module \(A\), where \(G\) is either nilpotent or soluble group of infinite special rank. It is described the construction of these modules in the case, if for any proper subgroup \(H\) of infinite special rank of group \(G\) the quotient module \(A/C_{A}(H)\) is a noetherian \(Z\)-module.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/878
work_keys_str_mv AT dashkovaoyu onautomorphismgroupsofsomemodules
first_indexed 2025-07-17T10:30:39Z
last_indexed 2025-07-17T10:30:39Z
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