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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Bibliographische Detailangaben
Datum:2018
1. Verfasser: Artemovych, Orest D.
Format: Artikel
Sprache:English
Veröffentlicht: Lugansk National Taras Shevchenko University 2018
Schlagworte:
Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1041
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Назва журналу:Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics