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

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...

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Bibliographic Details
Date:2018
Main Author: Dashkova, O. Yu.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/767
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics