Nonuniqueness of semidirect decompositions for semidirect products with directly decomposable factors and applications for dihedral groups

• Date: 2017
• Main Author: Daugulis, Peteris
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2017
• Subjects: semidirect product; direct product; diagonal action; generalized dihedral group; 20E22; 20D40
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/215
• Journal Title: Algebra and Discrete Mathematics

Nonuniqueness of semidirect decompositions of groups is an insufficiently studied question in contrast to direct decompositions. We obtain some results about semidirect decompositions for semidirect products with factors which are nontrivial direct products. We deal with a special case of semidirect...