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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| Опубліковано в: : | Algebra and Discrete Mathematics |
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| Дата: | 2012 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2012
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| Онлайн доступ: | https://nasplib.isofts.kiev.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| _version_ | 1862620768537411584 |
|---|---|
| author | Dashkova, O.Yu. |
| author_facet | Dashkova, O.Yu. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-07T13:23:08Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152227 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T13:23:08Z |
| publishDate | 2012 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Dashkova, O.Yu. 2019-06-09T05:38:02Z 2019-06-09T05:38:02Z 2012 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 https://nasplib.isofts.kiev.ua/handle/123456789/152227 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On locally soluble AFN-groups Article published earlier |
| spellingShingle | On locally soluble AFN-groups Dashkova, O.Yu. |
| title | 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_short | On locally soluble AFN-groups |
| title_sort | on locally soluble afn-groups |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152227 |
| work_keys_str_mv | AT dashkovaoyu onlocallysolubleafngroups |