On modules over group rings of locally soluble groups for a ring of p -adic integers
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On modules over group rings of locally soluble groups for a ring of p -adic integers
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| Creator |
Dashkova, O.Yu.
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| 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.
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| Date |
2019-06-15T16:34:37Z
2019-06-15T16:34:37Z 2009 |
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| Type |
Article
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| Identifier |
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. http://dspace.nbuv.gov.ua/handle/123456789/154573 |
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| Language |
en
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| Relation |
Algebra and Discrete Mathematics
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| Publisher |
Інститут прикладної математики і механіки НАН України
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