On c-normal and hypercentrally embeded subgroups of finite groups
In this article, we investigate the structure of a finite group \g under the assumption that some subgroups of \g are c-normal in $G$. The main theorem is as follows:Let \e be a normal finite group of $G$. If all subgroups of \ep with order \dpp and 2\dpp (if $p=2$ and $E_{p}$ is not an abelian nor...
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| Datum: | 2015 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Lugansk National Taras Shevchenko University
2015
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/70 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543160344248320 |
|---|---|
| author | Su, Ning Wang, Yanming |
| author_facet | Su, Ning Wang, Yanming |
| author_sort | Su, Ning |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2015-09-28T11:22:08Z |
| description | In this article, we investigate the structure of a finite group \g under the assumption that some subgroups of \g are c-normal in $G$. The main theorem is as follows:Let \e be a normal finite group of $G$. If all subgroups of \ep with order \dpp and 2\dpp (if $p=2$ and $E_{p}$ is not an abelian nor quaternion free 2-group) are c-normal in $G$, then \e is \phe $G$.We give some applications of the theorem and generalize some known results. |
| first_indexed | 2026-02-08T07:58:00Z |
| format | Article |
| id | admjournalluguniveduua-article-70 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:58:00Z |
| publishDate | 2015 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-702015-09-28T11:22:08Z On c-normal and hypercentrally embeded subgroups of finite groups Su, Ning Wang, Yanming c-normal, hypercenter, p-supersolvable, p-nilpotent 20D10 In this article, we investigate the structure of a finite group \g under the assumption that some subgroups of \g are c-normal in $G$. The main theorem is as follows:Let \e be a normal finite group of $G$. If all subgroups of \ep with order \dpp and 2\dpp (if $p=2$ and $E_{p}$ is not an abelian nor quaternion free 2-group) are c-normal in $G$, then \e is \phe $G$.We give some applications of the theorem and generalize some known results. Lugansk National Taras Shevchenko University The research has been supported by NSF China (11171353) 2015-09-28 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/70 Algebra and Discrete Mathematics; Vol 19, No 2 (2015) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/70/19 Copyright (c) 2015 Algebra and Discrete Mathematics |
| spellingShingle | c-normal hypercenter p-supersolvable p-nilpotent 20D10 Su, Ning Wang, Yanming On c-normal and hypercentrally embeded subgroups of finite groups |
| title | On c-normal and hypercentrally embeded subgroups of finite groups |
| title_full | On c-normal and hypercentrally embeded subgroups of finite groups |
| title_fullStr | On c-normal and hypercentrally embeded subgroups of finite groups |
| title_full_unstemmed | On c-normal and hypercentrally embeded subgroups of finite groups |
| title_short | On c-normal and hypercentrally embeded subgroups of finite groups |
| title_sort | on c-normal and hypercentrally embeded subgroups of finite groups |
| topic | c-normal hypercenter p-supersolvable p-nilpotent 20D10 |
| topic_facet | c-normal hypercenter p-supersolvable p-nilpotent 20D10 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/70 |
| work_keys_str_mv | AT suning oncnormalandhypercentrallyembededsubgroupsoffinitegroups AT wangyanming oncnormalandhypercentrallyembededsubgroupsoffinitegroups |