Groups of nilpotency class \(2\) of order \(p^4\) as additive groups of local nearrings

• Date: 2024
• Main Authors: Raievska, Iryna, Raievska, Maryna
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2024
• Subjects: local nearring; \(p\)-group; nilpotency class \(2\); 16Y30
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2269
• Journal Title: Algebra and Discrete Mathematics

The paper is devoted to the study of local nearrings (those with identity, for which all non-invertible elements form subgroups of their additive group). A study of such nearrings was first initiated by C. J. Maxson in 1968, and the problem on the determination of the finite \(p\)-groups, which are...