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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| Видавець: | Інститут прикладної математики і механіки НАН України |
|---|---|
| Дата: | 2014 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2014
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/153341 |
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| Цитувати: | Minimal non-PC-groups / O.D. Artemovych // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 1. — С. 1–7. — Бібліогр.: 13 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-153341 |
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dspace |
| spelling |
irk-123456789-1533412019-06-15T01:27:59Z Minimal non-PC-groups Artemovych, O.D. 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. 2014 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/153341 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Artemovych, O.D. |
| spellingShingle |
Artemovych, O.D. Minimal non-PC-groups Algebra and Discrete Mathematics |
| author_facet |
Artemovych, O.D. |
| author_sort |
Artemovych, O.D. |
| title |
Minimal non-PC-groups |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/153341 |
| citation_txt |
Minimal non-PC-groups / O.D. Artemovych // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 1. — С. 1–7. — Бібліогр.: 13 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT artemovychod minimalnonpcgroups |
| first_indexed |
2023-05-20T17:38:30Z |
| last_indexed |
2023-05-20T17:38:30Z |
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1796153749594439680 |