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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| Datum: | 2018 |
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| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Lugansk National Taras Shevchenko University
2018
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| Online Zugang: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/817 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543167464079360 |
|---|---|
| author | Dashkova, O. Yu. |
| author_facet | Dashkova, O. Yu. |
| author_sort | Dashkova, O. Yu. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-03-22T09:42:02Z |
| 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. |
| first_indexed | 2025-12-02T15:37:09Z |
| format | Article |
| id | admjournalluguniveduua-article-817 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:37:09Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| spellingShingle | locally soluble group linear group fundamental dimension section \(p\)-rank 20E99 Dashkova, O. Yu. On some locally soluble infinite dimensional linear groups |
| title | 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_short | On some locally soluble infinite dimensional linear groups |
| title_sort | on some locally soluble infinite dimensional linear groups |
| topic | locally soluble group linear group fundamental dimension section \(p\)-rank 20E99 |
| topic_facet | locally soluble group linear group fundamental dimension section \(p\)-rank 20E99 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/817 |
| work_keys_str_mv | AT dashkovaoyu onsomelocallysolubleinfinitedimensionallineargroups |