On modules over integer-valued group rings of locally soluble groups with rank restrictions imposed on subgroups

• Date: 2011
• Main Authors: Dashkova, O. Yu., Дашкова, О. Ю.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2011
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2798
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study the $ZG$-module $A$ such that $Z$ is the ring of integers, the group $G$ has infinite section $ p$-rank (or infinite 0-rank), $C_G(A) = 1$, $A$ is not a minimax $Z$-module, and, for every proper subgroup $H$ of infinite section $p$-rank (or infinite 0-rank, respectively), the quotient modul...