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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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1041 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543284738916352 |
|---|---|
| author | Artemovych, Orest D. |
| author_facet | Artemovych, Orest D. |
| author_sort | Artemovych, Orest D. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-26T02:28:53Z |
| 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. |
| first_indexed | 2025-12-02T15:24:42Z |
| format | Article |
| id | admjournalluguniveduua-article-1041 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:24:42Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-10412018-04-26T02:28:53Z Minimal non-\(PC\)-groups Artemovych, Orest D. \(PC\)-group, \(FC\)-group 20F24, 20E45 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. Lugansk National Taras Shevchenko University 2018-04-26 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1041 Algebra and Discrete Mathematics; Vol 18, No 1 (2014) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1041/563 Copyright (c) 2018 Algebra and Discrete Mathematics |
| spellingShingle | \(PC\)-group \(FC\)-group 20F24 20E45 Artemovych, Orest D. Minimal non-\(PC\)-groups |
| title | Minimal non-\(PC\)-groups |
| title_full | Minimal non-\(PC\)-groups |
| title_fullStr | Minimal non-\(PC\)-groups |
| title_full_unstemmed | Minimal non-\(PC\)-groups |
| title_short | Minimal non-\(PC\)-groups |
| title_sort | minimal non-\(pc\)-groups |
| topic | \(PC\)-group \(FC\)-group 20F24 20E45 |
| topic_facet | \(PC\)-group \(FC\)-group 20F24 20E45 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1041 |
| work_keys_str_mv | AT artemovychorestd minimalnonpcgroups |