On the Norm of Decomposable Subgroups in Locally Finite Groups

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.

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Bibliographic Details
Date:2015
Main Authors: Lyman, F. N., Lukashova, T. D., Лиман, Ф. Н., Лукашова, Т. Д.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2015
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1998
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal