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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2012 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2012
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| Online Zugang: | 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 |
| Zitieren: | On locally soluble AFN-groups / O.Yu. Dashkova // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 1. — С. 37–48. — Бібліогр.: 10 назв. — англ. |
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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 |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On locally soluble AFN-groups |
| spellingShingle |
On locally soluble AFN-groups Dashkova, O.Yu. |
| 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 |
| author |
Dashkova, O.Yu. |
| author_facet |
Dashkova, O.Yu. |
| publishDate |
2012 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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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| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.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. |
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AT dashkovaoyu onlocallysolubleafngroups |
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2025-12-07T13:23:08Z |
| last_indexed |
2025-12-07T13:23:08Z |
| _version_ |
1850855956280246272 |