On the Derived Length of a Finite Group with Complemented Subgroups of Order $p^2$

It is shown that a finite group with complemented subgroups of order $p^2$ is soluble for all $p$ and its derived length does not exceed 4.

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Bibliographic Details
Date:2015
Main Authors: Knyagina, V. N., Monakhov, V. S., Княгина, В. Н., Монахов, В. С.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2015
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2030
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal