Minimal non-\(PC\)-groups

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.

Збережено в:
Бібліографічні деталі
Дата:2018
Автор: Artemovych, Orest D.
Формат: Стаття
Мова:English
Опубліковано: Lugansk National Taras Shevchenko University 2018
Теми:
\(PC\)-group
\(FC\)-group
20F24
20E45
Онлайн доступ:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1041
Теги: Додати тег
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Назва журналу:Algebra and Discrete Mathematics

Репозитарії

Algebra and Discrete Mathematics
id oai:ojs.admjournal.luguniv.edu.ua:article-1041
record_format ojs
spelling oai:ojs.admjournal.luguniv.edu.ua: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
institution Algebra and Discrete Mathematics
collection OJS
language English
topic \(PC\)-group
\(FC\)-group
20F24
20E45
spellingShingle \(PC\)-group
\(FC\)-group
20F24
20E45
Artemovych, Orest D.
Minimal non-\(PC\)-groups
topic_facet \(PC\)-group
\(FC\)-group
20F24
20E45
format Article
author Artemovych, Orest D.
author_facet Artemovych, Orest D.
author_sort Artemovych, Orest 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
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.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1041
work_keys_str_mv AT artemovychorestd minimalnonpcgroups
first_indexed 2024-04-12T06:25:07Z
last_indexed 2024-04-12T06:25:07Z
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