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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Date: | 2014 |
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Main Author: | |
Format: | Article |
Language: | English |
Published: |
Інститут прикладної математики і механіки НАН України
2014
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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. |