On some linear groups, having a big family of G-invariant subspaces
Let F be a field, A a vector space over F, GL(F, A) be the group of all automorphisms of the vector space A. If B is a subspace of A, then denote by BFG the G-invariant subspace, generated by B. A subspace B is called nearly G-invariant, if dimF(BFG/B) is finite. In this paper we described the situa...
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| Дата: | 2013 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2013
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/152348 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On some linear groups, having a big family of G-invariant subspaces / L.A. Kurdachenko, A.V. Sadovnichenko // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 2. — С. 217–225. — Бібліогр.: 11 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-152348 |
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dspace |
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irk-123456789-1523482019-06-11T01:25:15Z On some linear groups, having a big family of G-invariant subspaces Kurdachenko, L.A. Sadovnichenko, A.V. Let F be a field, A a vector space over F, GL(F, A) be the group of all automorphisms of the vector space A. If B is a subspace of A, then denote by BFG the G-invariant subspace, generated by B. A subspace B is called nearly G-invariant, if dimF(BFG/B) is finite. In this paper we described the situation when every subspace of A is nearly G-invariant. 2013 Article On some linear groups, having a big family of G-invariant subspaces / L.A. Kurdachenko, A.V. Sadovnichenko // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 2. — С. 217–225. — Бібліогр.: 11 назв. — англ. 1726-3255 2010 MSC:15A03, 20F16, 20F29. http://dspace.nbuv.gov.ua/handle/123456789/152348 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Let F be a field, A a vector space over F, GL(F, A) be the group of all automorphisms of the vector space A. If B is a subspace of A, then denote by BFG the G-invariant subspace, generated by B. A subspace B is called nearly G-invariant, if dimF(BFG/B) is finite. In this paper we described the situation when every subspace of A is nearly G-invariant. |
| format |
Article |
| author |
Kurdachenko, L.A. Sadovnichenko, A.V. |
| spellingShingle |
Kurdachenko, L.A. Sadovnichenko, A.V. On some linear groups, having a big family of G-invariant subspaces Algebra and Discrete Mathematics |
| author_facet |
Kurdachenko, L.A. Sadovnichenko, A.V. |
| author_sort |
Kurdachenko, L.A. |
| title |
On some linear groups, having a big family of G-invariant subspaces |
| title_short |
On some linear groups, having a big family of G-invariant subspaces |
| title_full |
On some linear groups, having a big family of G-invariant subspaces |
| title_fullStr |
On some linear groups, having a big family of G-invariant subspaces |
| title_full_unstemmed |
On some linear groups, having a big family of G-invariant subspaces |
| title_sort |
on some linear groups, having a big family of g-invariant subspaces |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2013 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/152348 |
| citation_txt |
On some linear groups, having a big family of G-invariant subspaces / L.A. Kurdachenko, A.V. Sadovnichenko // Algebra and Discrete Mathematics. — 2013. — Vol. 16, № 2. — С. 217–225. — Бібліогр.: 11 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT kurdachenkola onsomelineargroupshavingabigfamilyofginvariantsubspaces AT sadovnichenkoav onsomelineargroupshavingabigfamilyofginvariantsubspaces |
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2023-05-20T17:38:07Z |
| last_indexed |
2023-05-20T17:38:07Z |
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1796153740372213760 |