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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| Published in: | Algebra and Discrete Mathematics |
|---|---|
| Date: | 2008 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2008
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/153362 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On some locally soluble infinite dimensional linear groups / O.Yu. Dashkova // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 3. — С. 40–49. — Бібліогр.: 14 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862703306173841408 |
|---|---|
| author | Dashkova, O.Yu. |
| author_facet | Dashkova, O.Yu. |
| citation_txt | On some locally soluble infinite dimensional linear groups / O.Yu. Dashkova // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 3. — С. 40–49. — Бібліогр.: 14 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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 | 2025-12-07T16:48:01Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-153362 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T16:48:01Z |
| publishDate | 2008 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Dashkova, O.Yu. 2019-06-14T03:35:40Z 2019-06-14T03:35:40Z 2008 On some locally soluble infinite dimensional linear groups / O.Yu. Dashkova // Algebra and Discrete Mathematics. — 2008. — Vol. 7, № 3. — С. 40–49. — Бібліогр.: 14 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 20E99. https://nasplib.isofts.kiev.ua/handle/123456789/153362 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. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On some locally soluble infinite dimensional linear groups Article published earlier |
| spellingShingle | On some locally soluble infinite dimensional linear groups Dashkova, O.Yu. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/153362 |
| work_keys_str_mv | AT dashkovaoyu onsomelocallysolubleinfinitedimensionallineargroups |