A note on semidirect products and nonabelian tensor products of groups

• Date: 2018
• Main Authors: Nakaoka, Irene N., Rocco, Noraı R.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2018
• Subjects: Semidirect products; Nonabelian tensor products; Frobenius Groups; Affine Groups; 20J99; 20E22
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/789
• Journal Title: Algebra and Discrete Mathematics

Let \(G\) and \(H\) be groups which act compatibly on one another. In [2] and [8] it is considered a group construction \(\eta(G,H)\) which is related to the nonabelian tensor product \(G \otimes H\). In this note we study embedding questions of certain semidirect products \(A \rtimes H\) into \(\et...