On one property of hypercyclic groups

We prove that the condition of periodicity of all normal Abelian subgroups of a group with increasing normal series with cyclic factors such that infinite factors are central is preserved on passing to subgroups of finite index. We present an example which demonstrates that the requirement that all...

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Bibliographic Details
Date:1995
Main Authors: Chechin, S. A., Чечин, С. А.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1995
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5439
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal