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Algebra and Discrete Mathematics, 2014, Volume 18, Issue 1, Pages 1–7 (Mi adm476)  
RESEARCH ARTICLE

Minimal non-$PC$-groups

Orest D. Artemovych

Institute of Mathematics, Cracow University of Technology, ul. Warszawska 24, Cracow 31-155 POLAND
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Abstract: 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.
Keywords: $PC$-group, $FC$-group.
Received: 01.02.2014
Revised: 07.02.2014
Bibliographic databases:
Document Type: Article
MSC: 20F24, 20E45
Language: English
Citation: Orest D. Artemovych, “Minimal non-$PC$-groups”, Algebra Discrete Math., 18:1 (2014), 1–7
Citation in format AMSBIB
\Bibitem{Art14}
\by Orest~D.~Artemovych
\paper Minimal non-$PC$-groups
\jour Algebra Discrete Math.
\yr 2014
\vol 18
\issue 1
\pages 1--7
\mathnet{http://mi.mathnet.ru/adm476}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3280251}
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