On locally soluble AFN-groups
Let A be an RG-module, where R is a commutative ring, G is a locally soluble group, CG(A) = 1, and each proper subgroup H of G for which A / CA(H) is not a noetherian R-module, is finitely generated. We describe the structure of a locally soluble group G with these conditions and the structure of G...
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| Дата: | 2012 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2012
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/152227 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On locally soluble AFN-groups / O.Yu. Dashkova // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 1. — С. 37–48. — Бібліогр.: 10 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-152227 |
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dspace |
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irk-123456789-1522272019-06-10T01:26:08Z On locally soluble AFN-groups Dashkova, O.Yu. Let A be an RG-module, where R is a commutative ring, G is a locally soluble group, CG(A) = 1, and each proper subgroup H of G for which A / CA(H) is not a noetherian R-module, is finitely generated. We describe the structure of a locally soluble group G with these conditions and the structure of G under consideration if G is a finitely generated soluble group and the quotient module A / CA(G) is not a noetherian R-module. 2012 Article On locally soluble AFN-groups / O.Yu. Dashkova // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 1. — С. 37–48. — Бібліогр.: 10 назв. — англ. 1726-3255 2010 MSC:20F19 http://dspace.nbuv.gov.ua/handle/123456789/152227 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 |
Let A be an RG-module, where R is a commutative ring, G is a locally soluble group, CG(A) = 1, and each proper subgroup H of G for which A / CA(H) is not a noetherian R-module, is finitely generated. We describe the structure of a locally soluble group G with these conditions and the structure of G under consideration if G is a finitely generated soluble group and the quotient module A / CA(G) is not a noetherian R-module. |
| format |
Article |
| author |
Dashkova, O.Yu. |
| spellingShingle |
Dashkova, O.Yu. On locally soluble AFN-groups Algebra and Discrete Mathematics |
| author_facet |
Dashkova, O.Yu. |
| author_sort |
Dashkova, O.Yu. |
| title |
On locally soluble AFN-groups |
| title_short |
On locally soluble AFN-groups |
| title_full |
On locally soluble AFN-groups |
| title_fullStr |
On locally soluble AFN-groups |
| title_full_unstemmed |
On locally soluble AFN-groups |
| title_sort |
on locally soluble afn-groups |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/152227 |
| citation_txt |
On locally soluble AFN-groups / O.Yu. Dashkova // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 1. — С. 37–48. — Бібліогр.: 10 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT dashkovaoyu onlocallysolubleafngroups |
| first_indexed |
2023-05-20T17:37:47Z |
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2023-05-20T17:37:47Z |
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1796153728326172672 |