On some locally soluble infinite dimensional linear groups
The author investigates nonabelian locally soluble linear groups of infinite fundamental dimension and of infinite section p-rank all of whose proper nonabelian subgroups of infinite section p-rank are of finite fundamental dimension. The solubility of these groups is proved.
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| Дата: | 2018 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/817 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| id |
oai:ojs.admjournal.luguniv.edu.ua:article-817 |
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oai:ojs.admjournal.luguniv.edu.ua:article-8172018-03-22T09:42:02Z On some locally soluble infinite dimensional linear groups Dashkova, O. Yu. locally soluble group, linear group, fundamental dimension, section \(p\)-rank 20E99 The author investigates nonabelian locally soluble linear groups of infinite fundamental dimension and of infinite section p-rank all of whose proper nonabelian subgroups of infinite section p-rank are of finite fundamental dimension. The solubility of these groups is proved. Lugansk National Taras Shevchenko University 2018-03-22 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/817 Algebra and Discrete Mathematics; Vol 7, No 3 (2008) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/817/347 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| baseUrl_str |
|
| datestamp_date |
2018-03-22T09:42:02Z |
| collection |
OJS |
| language |
English |
| topic |
locally soluble group linear group fundamental dimension section \(p\)-rank 20E99 |
| spellingShingle |
locally soluble group linear group fundamental dimension section \(p\)-rank 20E99 Dashkova, O. Yu. On some locally soluble infinite dimensional linear groups |
| topic_facet |
locally soluble group linear group fundamental dimension section \(p\)-rank 20E99 |
| format |
Article |
| author |
Dashkova, O. Yu. |
| author_facet |
Dashkova, O. Yu. |
| author_sort |
Dashkova, O. Yu. |
| title |
On some locally soluble infinite dimensional linear groups |
| title_short |
On some locally soluble infinite dimensional linear groups |
| title_full |
On some locally soluble infinite dimensional linear groups |
| title_fullStr |
On some locally soluble infinite dimensional linear groups |
| title_full_unstemmed |
On some locally soluble infinite dimensional linear groups |
| title_sort |
on some locally soluble infinite dimensional linear groups |
| description |
The author investigates nonabelian locally soluble linear groups of infinite fundamental dimension and of infinite section p-rank all of whose proper nonabelian subgroups of infinite section p-rank are of finite fundamental dimension. The solubility of these groups is proved. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/817 |
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AT dashkovaoyu onsomelocallysolubleinfinitedimensionallineargroups |
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2025-07-17T10:31:37Z |
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2025-07-17T10:31:37Z |
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1837890140184248320 |