On $\sigma$-subnormal subgroups of finite 3'-groups

UDC 512.542 For a partition $\sigma$ of the set $\mathbb{R}$ of all primes, it is solved that if every complete Hall set of type $\sigma$ of a finite $3 \prime$-group $G$ is reducible in some subgroup $H$ of $G$, then $H$ is $\sigma$ -subnormal in $G$.  

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Bibliographic Details
Date:2020
Main Authors: Kamornikov, S. F., Tyutyanov, V. N., Каморников, С. Ф., Тютянов, В. Н.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 2020
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/1037
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal