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:2014
Main Author: Artemovych, O.D.
Format: Article
Language:English
Published: Інститут прикладної математики і механіки НАН України 2014
Series:Algebra and Discrete Mathematics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/153341
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Minimal non-PC-groups / O.D. Artemovych // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 1. — С. 1–7. — Бібліогр.: 13 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine