On groups with the minimal condition for non-invariant decomposable abelian subgroups

• Date: 2018
• Main Authors: Lyman, F. N., Drushlyak, M. G.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: group; subgroup; order of the group; involution; locally finite group; non-periodic group; decomposable abelian subgroup; minimal condition; condition of normality
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/906
• Journal Title: Algebra and Discrete Mathematics

The infinite groups, in which there is no any infinite descending chain of non-invariant decomposable abelian subgroups (\(md\)-groups) are studied. Infinite groups with the minimal condition for non-invariant abelian subgroups, infinite groups with the condition of normality for all decomposable ab...