Locally soluble groups with the restrictions on the generalized norms

• Date: 2020
• Main Author: Lukashova, T.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2020
• Subjects: locally soluble groups; non-periodic group; decomposable group; generalized norms of groups; norm of decomposable subgroups; norm of Abelian non-cyclic subgroups; non-Dedekind group; 20D25; 20E28
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1527
• Journal Title: Algebra and Discrete Mathematics

The author studies groups with given restrictions on norms of decomposable and Abelian non-cyclic subgroups. The properties of non-periodic locally soluble groups, in which such norms are nonidentity and have the identity intersection, are described.