Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
On modules over group rings of locally soluble groups for a ring of p -adic integers
Репозиторій DSpace/Manakin
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On modules over group rings of locally soluble groups for a ring of p -adic integers
Інший ID:
2000 Mathematics Subject Classification: 20F19; 20H25.
Посилання:
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.
Дата:
2009
Переглядів:
472
Завантажень:
172
Анотація:
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.
