On modules over group rings of locally soluble groups for a ring of p -adic integers

• Published in: Algebra and Discrete Mathematics
• Date: 2009
• Main Author: Dashkova, O.Yu.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/154573
• 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.

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...