On ascending and subnormal subgroups of infinite factorized groups

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...