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Minimal non-\(PC\)-groups

The purpose of this paper is to prove that a non-perfect group \(G\) is a minimal non-\(PC\)-group if and only if it is a minimal non-\(FC\)-group. It is shown that a perfect locally graded minimal non-\(PC\)-group is an indecomposable countable locally finite \(p\)-group.

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Bibliographic Details
Date:	2018
Main Author:	Artemovych, Orest D.
Format:	Article
Language:	English
Published:	Lugansk National Taras Shevchenko University 2018
Subjects:	\(PC\)-group \(FC\)-group 20F24 20E45
Online Access:	https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1041
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Journal Title:	Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics

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