On one property of hypercyclic groups

• Datum: 1995
• Hauptverfasser: Chechin, S. A., Чечин, С. А.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1995
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/5439
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...