On one class of modules over integer group rings of locally solvable groups

• Date: 2009
• Main Authors: Dashkova, O. Yu., Дашкова, О. Ю.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2009
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2999
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We study a $Z G$-module $A$ in the case where the group $G$ is locally solvable and satisfies the condition min–naz and its cocentralizer in A is not an Artinian $Z$-module. We prove that the group G is solvable under the conditions indicated above. The structure of the group $G$ is studied in detai...