On ascending and subnormal subgroups of infinite factorized groups

We consider an almost hyper-Abellan group G of a finite Abelian sectional rank that is the product of two subgroups A and B. We prove that every subgroup H that belongs to the intersection A ∩ B and is ascending both in A and B is also an ascending subgroup in the group G. We also show that, in the...

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Bibliographic Details
Date:1997
Main Authors: De, Glovanni F., Sysak, Ya. P., Franclosi, S., Дэ, Джованни Ф., Сысак, Я. П., Франчиози, С.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1997
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5070
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal