Generalized norms of groups: retrospective review and current status

• Datum: 2023
• Hauptverfasser: Lukashova, T., Drushlyak, M.
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2023
• Schlagworte: norm of a group; generalized norm of a group; norm of non-cyclic subgroups; norm of Abelian non-cyclic subgroups; norm of decomposable subgroups; 20D25; 20E28
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1968
• Назва журналу: Algebra and Discrete Mathematics

In this survey paper the authors specify all the known findings related to the norms of a~group and their generalizations (since 2016 in more details). Special attention is paid to the analysis of their own study of different generalized norms, particularly the norm of non-cyclic subgroups, the norm...