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

• Published in: Algebra and Discrete Mathematics
• Date: 2017
• Main Author: Daugulis, P.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/156025
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Nonuniqueness of semidirect decompositions for semidirect products with directly decomposable factors and applications for dihedral groups / P. Daugulis // Algebra and Discrete Mathematics. — 2017. — Vol. 23, № 2. — С. 204-215. — Бібліогр.: 6 назв. — англ.

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...