Classical groups as Frobenius complement
The Frobenius group \(G\) belongs to an important class of groups that more than 100 years ago was defined by F. G. Frobenius who proved that \(G\) is a semi-direct product of a normal subgroup \(K\) of \(G\) called kernel by another non-trivial subgroup \(H\) called the complement. In this case we...
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| Дата: | 2023 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2023
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1929 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543344433299456 |
|---|---|
| author | Darefsheh, M. Saydi, H. |
| author_facet | Darefsheh, M. Saydi, H. |
| author_sort | Darefsheh, M. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2023-06-18T17:42:42Z |
| description | The Frobenius group \(G\) belongs to an important class of groups that more than 100 years ago was defined by F. G. Frobenius who proved that \(G\) is a semi-direct product of a normal subgroup \(K\) of \(G\) called kernel by another non-trivial subgroup \(H\) called the complement. In this case we show that a few of the classical finite groups can be Frobenius complement. |
| first_indexed | 2026-02-08T07:57:46Z |
| format | Article |
| id | admjournalluguniveduua-article-1929 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:57:46Z |
| publishDate | 2023 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-19292023-06-18T17:42:42Z Classical groups as Frobenius complement Darefsheh, M. Saydi, H. classical group, Frobenius group, Frobenius complement 20H20, 20F50 The Frobenius group \(G\) belongs to an important class of groups that more than 100 years ago was defined by F. G. Frobenius who proved that \(G\) is a semi-direct product of a normal subgroup \(K\) of \(G\) called kernel by another non-trivial subgroup \(H\) called the complement. In this case we show that a few of the classical finite groups can be Frobenius complement. Lugansk National Taras Shevchenko University 2023-06-18 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1929 10.12958/adm1929 Algebra and Discrete Mathematics; Vol 35, No 1 (2023) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1929/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1929/954 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1929/1082 Copyright (c) 2023 Algebra and Discrete Mathematics |
| spellingShingle | classical group Frobenius group Frobenius complement 20H20 20F50 Darefsheh, M. Saydi, H. Classical groups as Frobenius complement |
| title | Classical groups as Frobenius complement |
| title_full | Classical groups as Frobenius complement |
| title_fullStr | Classical groups as Frobenius complement |
| title_full_unstemmed | Classical groups as Frobenius complement |
| title_short | Classical groups as Frobenius complement |
| title_sort | classical groups as frobenius complement |
| topic | classical group Frobenius group Frobenius complement 20H20 20F50 |
| topic_facet | classical group Frobenius group Frobenius complement 20H20 20F50 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1929 |
| work_keys_str_mv | AT darefshehm classicalgroupsasfrobeniuscomplement AT saydih classicalgroupsasfrobeniuscomplement |