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Algebra and Discrete Mathematics, 2014, Volume 18, Issue 1, Pages 1–7
(Mi adm476)
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RESEARCH ARTICLE
Minimal non-$PC$-groups
Orest D. Artemovych Institute of Mathematics, Cracow University of Technology, ul. Warszawska 24, Cracow 31-155 POLAND
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
Citation:
Orest D. Artemovych, “Minimal non-$PC$-groups”, Algebra Discrete Math., 18:1 (2014), 1–7
Linking options:
https://www.mathnet.ru/eng/adm476 https://www.mathnet.ru/eng/adm/v18/i1/p1
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Abstract page: | 208 | Full-text PDF : | 139 | References: | 37 |
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