Geodesic
Minimal non-$PC$-groups
Algebra and discrete mathematics, Tome 18 (2014) no. 1, pp. 1-7

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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.
Mots-clés : $PC$-group, $FC$-group. 
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     author = {Orest D. Artemovych},
     title = {Minimal non-$PC$-groups},
     journal = {Algebra and discrete mathematics},
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     number = {1},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2014_18_1_a1/}
}
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Orest D. Artemovych. Minimal non-$PC$-groups. Algebra and discrete mathematics, Tome 18 (2014) no. 1, pp. 1-7. http://geodesic.mathdoc.fr/item/ADM_2014_18_1_a1/