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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| Опубліковано в: : | Algebra and Discrete Mathematics |
|---|---|
| Дата: | 2014 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2014
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| Онлайн доступ: | 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 |
| Цитувати: | Minimal non-PC-groups / O.D. Artemovych // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 1. — С. 1–7. — Бібліогр.: 13 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862536059334688768 |
|---|---|
| author | Artemovych, O.D. |
| author_facet | Artemovych, O.D. |
| citation_txt | Minimal non-PC-groups / O.D. Artemovych // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 1. — С. 1–7. — Бібліогр.: 13 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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 | 2025-11-24T10:28:46Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-153341 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-24T10:28:46Z |
| publishDate | 2014 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Minimal non-PC-groups Artemovych, O.D. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/153341 |
| work_keys_str_mv | AT artemovychod minimalnonpcgroups |