On groups factorizable in commuting almost locally normal subgroups

We prove that an RN-group (in particular, locally solvable) G =G 1 G 2 ...G n with G i and π(G i ) ∩ π(G j ) = ⊘,i ≠j is a periodic hyper-Abelian group if the subgroupsG j are almost locally normal.

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Bibliographic Details
Date:1996
Main Authors: Chernikov, N. S., Черников, Н. С.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1996
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5342
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal