On finite $A$-groups with complementable nonmetacyclic subgroups

We study groupsG satisfying the following conditions: (i)G is a finite solvable group with non-Abelian commutant and Abelian Sylow subgroups; (ii) all nonmetacyclic subgroups ofG are complementable. We give a description of the structure of such groups with nonmetacyclic second commutant.

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Bibliographic Details
Date:1995
Main Authors: Baryshovets, P. P., Барышовец, П. П.
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/5515
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal