On modules over group rings of locally soluble groups for a ring of p -adic integers
The author studies the Zp∞G-module A such that Zp∞ is a ring of p-adic integers, a group G is locally soluble, the quotient module A/CA(G) is not Artinian Zp∞-module, and the system of all subgroups H≤G for which the quotient modules A/CA(H) are not Artinian Zp∞-modules satisfies the minimal conditi...
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| Date: | 2009 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2009
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/154573 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On modules over group rings of locally soluble groups for a ring of p -adic integers / O. Yu. Dashkova // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 1. — С. 32–43. — Бібліогр.: 9 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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nasplib_isofts_kiev_ua-123456789-1545732025-02-09T10:42:00Z On modules over group rings of locally soluble groups for a ring of p -adic integers Dashkova, O.Yu. The author studies the Zp∞G-module A such that Zp∞ is a ring of p-adic integers, a group G is locally soluble, the quotient module A/CA(G) is not Artinian Zp∞-module, and the system of all subgroups H≤G for which the quotient modules A/CA(H) are not Artinian Zp∞-modules satisfies the minimal condition on subgroups. It is proved that the group G under consideration is soluble and some its properties are obtained. 2009 Article On modules over group rings of locally soluble groups for a ring of p -adic integers / O. Yu. Dashkova // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 1. — С. 32–43. — Бібліогр.: 9 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 20F19; 20H25. https://nasplib.isofts.kiev.ua/handle/123456789/154573 en Algebra and Discrete Mathematics application/pdf 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 |
The author studies the Zp∞G-module A such that Zp∞ is a ring of p-adic integers, a group G is locally soluble, the quotient module A/CA(G) is not Artinian Zp∞-module, and the system of all subgroups H≤G for which the quotient modules A/CA(H) are not Artinian Zp∞-modules satisfies the minimal condition on subgroups. It is proved that the group G under consideration is soluble and some its properties are obtained. |
| format |
Article |
| author |
Dashkova, O.Yu. |
| spellingShingle |
Dashkova, O.Yu. On modules over group rings of locally soluble groups for a ring of p -adic integers Algebra and Discrete Mathematics |
| author_facet |
Dashkova, O.Yu. |
| author_sort |
Dashkova, O.Yu. |
| title |
On modules over group rings of locally soluble groups for a ring of p -adic integers |
| title_short |
On modules over group rings of locally soluble groups for a ring of p -adic integers |
| title_full |
On modules over group rings of locally soluble groups for a ring of p -adic integers |
| title_fullStr |
On modules over group rings of locally soluble groups for a ring of p -adic integers |
| title_full_unstemmed |
On modules over group rings of locally soluble groups for a ring of p -adic integers |
| title_sort |
on modules over group rings of locally soluble groups for a ring of p -adic integers |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2009 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/154573 |
| citation_txt |
On modules over group rings of locally soluble groups for a ring of p
-adic integers / O. Yu. Dashkova
// Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 1. — С. 32–43. — Бібліогр.: 9 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT dashkovaoyu onmodulesovergroupringsoflocallysolublegroupsforaringofpadicintegers |
| first_indexed |
2025-11-25T20:40:34Z |
| last_indexed |
2025-11-25T20:40:34Z |
| _version_ |
1849796312903450624 |