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

• Datum: 2018
• 1. Verfasser: Dashkova, O. Yu.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: Linear group; Artinian module; locally soluble group; 20F19; 20H25
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/767
• Назва журналу: Algebra and Discrete Mathematics

The author studies the \(\bf Z_{p^{\infty}}\)\(G\)-module \(A\) such that \(\bf Z_{p^{\infty}}\) is a ring of \(p\)-adic integers, a group \(G\) is locally soluble, the quotient module \(A/C_{A}(G)\) is not Artinian \(\bf Z_{p^{\infty}}\)-module, and the system of all subgroups \(H \leq G\) for whic...