On the Norm of Decomposable Subgroups in Locally Finite Groups

• Datum: 2015
• Hauptverfasser: Lyman, F. N., Lukashova, T. D., Лиман, Ф. Н., Лукашова, Т. Д.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2015
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1998
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We study the relationships between the norm of decomposable subgroups and the norm of Abelian noncyclic subgroups in the class of locally finite groups. We also describe some properties of periodic locally nilpotent groups in which the norm of decomposable subgroups is a non-Dedekind norm.