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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2014 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут прикладної математики і механіки НАН України
2014
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/153341 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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| id |
nasplib_isofts_kiev_ua-123456789-153341 |
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Artemovych, O.D. 2019-06-14T03:24:27Z 2019-06-14T03:24:27Z 2014 Minimal non-PC-groups / O.D. Artemovych // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 1. — С. 1–7. — Бібліогр.: 13 назв. — англ. 1726-3255 2010 MSC:20F24, 20E45. https://nasplib.isofts.kiev.ua/handle/123456789/153341 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Minimal non-PC-groups Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Minimal non-PC-groups |
| spellingShingle |
Minimal non-PC-groups Artemovych, O.D. |
| title_short |
Minimal non-PC-groups |
| title_full |
Minimal non-PC-groups |
| title_fullStr |
Minimal non-PC-groups |
| title_full_unstemmed |
Minimal non-PC-groups |
| title_sort |
minimal non-pc-groups |
| author |
Artemovych, O.D. |
| author_facet |
Artemovych, O.D. |
| publishDate |
2014 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
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.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/153341 |
| fulltext |
|
| citation_txt |
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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AT artemovychod minimalnonpcgroups |
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2025-11-24T10:28:46Z |
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2025-11-24T10:28:46Z |
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1850844692876361728 |